10120210212101 has 16 divisors (see below), whose sum is σ = 11096447078400. Its totient is φ = 9153349135920.

The previous prime is 10120210212067. The next prime is 10120210212121. The reversal of 10120210212101 is 10121201202101.

It is not a de Polignac number, because 10120210212101 - 2³⁴ = 10103030342917 is a prime.

It is a super-2 number, since 2×10120210212101² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120210212121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34490456 + ... + 34782638.

It is an arithmetic number, because the mean of its divisors is an integer number (693527942400).

Almost surely, 2^{10120210212101} is an apocalyptic number.

10120210212101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10120210212101 is a deficient number, since it is larger than the sum of its proper divisors (976236866299).

10120210212101 is a wasteful number, since it uses less digits than its factorization.

10120210212101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308216.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10120210212101 its reverse (10121201202101), we get a palindrome (20241411414202).

The spelling of 10120210212101 in words is "ten trillion, one hundred twenty billion, two hundred ten million, two hundred twelve thousand, one hundred one".