21121010101000 has 64 divisors (see below), whose sum is σ = 51571996894080. Its totient is φ = 8081082116800.

The previous prime is 21121010100979. The next prime is 21121010101003. The reversal of 21121010101000 is 10101012112.

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

It is not an unprimeable number, because it can be changed into a prime (21121010101003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 459129394 + ... + 459175393.

It is an arithmetic number, because the mean of its divisors is an integer number (805812451470).

Almost surely, 2^{21121010101000} is an apocalyptic number.

21121010101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21121010101000 is an abundant number, since it is smaller than the sum of its proper divisors (30450986793080).

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

21121010101000 is a wasteful number, since it uses less digits than its factorization.

21121010101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918304831 (or 918304817 counting only the distinct ones).

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

Adding to 21121010101000 its reverse (10101012112), we get a palindrome (21131111113112).

The spelling of 21121010101000 in words is "twenty-one trillion, one hundred twenty-one billion, ten million, one hundred one thousand".