100211110211021 has 16 divisors (see below), whose sum is σ = 103664645535360. Its totient is φ = 96805872506880.

The previous prime is 100211110210933. The next prime is 100211110211083. The reversal of 100211110211021 is 120112011112001.

It is a cyclic number.

It is not a de Polignac number, because 100211110211021 - 2³⁴ = 100193930341837 is a prime.

It is a super-2 number, since 2×100211110211021² (a number of 29 digits) contains 22 as substring.

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 = 100211110210987 and 100211110211005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100211110219021) 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, 33089261 + ... + 35990573.

It is an arithmetic number, because the mean of its divisors is an integer number (6479040345960).

Almost surely, 2^{100211110211021} is an apocalyptic number.

It is an amenable number.

100211110211021 is a deficient number, since it is larger than the sum of its proper divisors (3453535324339).

100211110211021 is a wasteful number, since it uses less digits than its factorization.

100211110211021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909636.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 100211110211021 its reverse (120112011112001), we get a palindrome (220323121323022).

The spelling of 100211110211021 in words is "one hundred trillion, two hundred eleven billion, one hundred ten million, two hundred eleven thousand, twenty-one".