21101110102000 has 80 divisors (see below), whose sum is σ = 52266935264544. Its totient is φ = 8234579520000.

The previous prime is 21101110101943. The next prime is 21101110102003. The reversal of 21101110102000 is 20101110112.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21101110102003) 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, 128583306 + ... + 128747305.

Almost surely, 2^{21101110102000} is an apocalyptic number.

21101110102000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21101110102000 is an abundant number, since it is smaller than the sum of its proper divisors (31165825162544).

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

21101110102000 is a wasteful number, since it uses less digits than its factorization.

21101110102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257330675 (or 257330659 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 21101110102000 its reverse (20101110112), we get a palindrome (21121211212112).

The spelling of 21101110102000 in words is "twenty-one trillion, one hundred one billion, one hundred ten million, one hundred two thousand".