100210101222121 has 32 divisors (see below), whose sum is σ = 114088991588352. Its totient is φ = 87192651000000.

The previous prime is 100210101222103. The next prime is 100210101222131. The reversal of 100210101222121 is 121222101012001.

It is a cyclic number.

It is not a de Polignac number, because 100210101222121 - 2⁹ = 100210101221609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100210101222095 and 100210101222104.

It is not an unprimeable number, because it can be changed into a prime (100210101222131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29778816 + ... + 32972686.

It is an arithmetic number, because the mean of its divisors is an integer number (3565280987136).

Almost surely, 2^{100210101222121} is an apocalyptic number.

100210101222121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100210101222121 is a deficient number, since it is larger than the sum of its proper divisors (13878890366231).

100210101222121 is a wasteful number, since it uses less digits than its factorization.

100210101222121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3194925.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100210101222121 its reverse (121222101012001), we get a palindrome (221432202234122).

The spelling of 100210101222121 in words is "one hundred trillion, two hundred ten billion, one hundred one million, two hundred twenty-two thousand, one hundred twenty-one".