101111000201021 has 16 divisors (see below), whose sum is σ = 103612468101120. Its totient is φ = 98635830736560.

The previous prime is 101111000200979. The next prime is 101111000201027. The reversal of 101111000201021 is 120102000111101.

It is a cyclic number.

It is not a de Polignac number, because 101111000201021 - 2¹⁴ = 101111000184637 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 101111000200993 and 101111000201011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101111000201027) 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, 324330806 + ... + 324642408.

It is an arithmetic number, because the mean of its divisors is an integer number (6475779256320).

Almost surely, 2^{101111000201021} is an apocalyptic number.

It is an amenable number.

101111000201021 is a deficient number, since it is larger than the sum of its proper divisors (2501467900099).

101111000201021 is a wasteful number, since it uses less digits than its factorization.

101111000201021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353776.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101111000201021 its reverse (120102000111101), we get a palindrome (221213000312122).

The spelling of 101111000201021 in words is "one hundred one trillion, one hundred eleven billion, two hundred one thousand, twenty-one".