10210100101201 has 16 divisors (see below), whose sum is σ = 13708665871488. Its totient is φ = 7343928144000.

The previous prime is 10210100101189. The next prime is 10210100101291.

10210100101201 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 10210100101201 - 2¹⁷ = 10210099970129 is a prime.

It is a super-2 number, since 2×10210100101201² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10210100101291) 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, 5099949100 + ... + 5099951101.

It is an arithmetic number, because the mean of its divisors is an integer number (856791616968).

Almost surely, 2^{10210100101201} is an apocalyptic number.

10210100101201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10210100101201 is a deficient number, since it is larger than the sum of its proper divisors (3498565770287).

10210100101201 is a wasteful number, since it uses less digits than its factorization.

10210100101201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10199900232.

The product of its (nonzero) digits is 4, while the sum is 10.

It can be divided in two parts, 10210100 and 101201, that added together give a palindrome (10311301).

The spelling of 10210100101201 in words is "ten trillion, two hundred ten billion, one hundred million, one hundred one thousand, two hundred one".