101010010100021 has 24 divisors (see below), whose sum is σ = 111160786612512. Its totient is φ = 91717121469600.

The previous prime is 101010010099907. The next prime is 101010010100023. The reversal of 101010010100021 is 120001010010101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-101010010100021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101010010099981 and 101010010100008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101010010100023) 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, 450095786 + ... + 450320148.

It is an arithmetic number, because the mean of its divisors is an integer number (4631699442188).

Almost surely, 2^{101010010100021} is an apocalyptic number.

101010010100021 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

101010010100021 is a deficient number, since it is larger than the sum of its proper divisors (10150776512491).

101010010100021 is a wasteful number, since it uses less digits than its factorization.

101010010100021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228833 (or 228822 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101010010100021 its reverse (120001010010101), we get a palindrome (221011020110122).

The spelling of 101010010100021 in words is "one hundred one trillion, ten billion, ten million, one hundred thousand, twenty-one".