21100121101010 has 128 divisors (see below), whose sum is σ = 44811546624000. Its totient is φ = 7003569878784.

The previous prime is 21100121100967. The next prime is 21100121101021. The reversal of 21100121101010 is 1010112100112.

It is a super-2 number, since 2×21100121101010² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 21100121100982 and 21100121101000.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297153491 + ... + 297224489.

It is an arithmetic number, because the mean of its divisors is an integer number (350090208000).

Almost surely, 2^{21100121101010} is an apocalyptic number.

21100121101010 is an abundant number, since it is smaller than the sum of its proper divisors (23711425522990).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21100121101010 is a wasteful number, since it uses less digits than its factorization.

21100121101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72040.

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

Adding to 21100121101010 its reverse (1010112100112), we get a palindrome (22110233201122).

The spelling of 21100121101010 in words is "twenty-one trillion, one hundred billion, one hundred twenty-one million, one hundred one thousand, ten".