100010011101021 has 64 divisors (see below), whose sum is σ = 175218699686400. Its totient is φ = 55161983923200.

The previous prime is 100010011101001. The next prime is 100010011101031. The reversal of 100010011101021 is 120101110010001.

It is not a de Polignac number, because 100010011101021 - 2¹³ = 100010011092829 is a prime.

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

It is a junction number, because it is equal to n+sod(n) for n = 100010011100994 and 100010011101012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010011101001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16333701 + ... + 21605781.

It is an arithmetic number, because the mean of its divisors is an integer number (2737792182600).

Almost surely, 2^{100010011101021} is an apocalyptic number.

It is an amenable number.

100010011101021 is a deficient number, since it is larger than the sum of its proper divisors (75208688585379).

100010011101021 is a wasteful number, since it uses less digits than its factorization.

100010011101021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5275587 (or 5275581 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100010011101021 its reverse (120101110010001), we get a palindrome (220111121111022).

The spelling of 100010011101021 in words is "one hundred trillion, ten billion, eleven million, one hundred one thousand, twenty-one".