10101022101 has 24 divisors (see below), whose sum is σ = 14643481944. Its totient is φ = 6709547520.

The previous prime is 10101022097. The next prime is 10101022111. The reversal of 10101022101 is 10122010101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2291058225 + 7809963876 = 47865^2 + 88374^2 .

It is not a de Polignac number, because 10101022101 - 2² = 10101022097 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101022111) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3852571 + ... + 3855191.

It is an arithmetic number, because the mean of its divisors is an integer number (610145081).

Almost surely, 2^10101022101 is an apocalyptic number.

It is an amenable number.

10101022101 is a deficient number, since it is larger than the sum of its proper divisors (4542459843).

10101022101 is a wasteful number, since it uses less digits than its factorization.

10101022101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021 (or 4018 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101022101 its reverse (10122010101), we get a palindrome (20223032202).

The spelling of 10101022101 in words is "ten billion, one hundred one million, twenty-two thousand, one hundred one".