21011157121100 has 36 divisors (see below), whose sum is σ = 45601712553600. Its totient is φ = 8403080064960.

The previous prime is 21011157121061. The next prime is 21011157121103. The reversal of 21011157121100 is 112175111012.

It is not an unprimeable number, because it can be changed into a prime (21011157121103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16673855 + ... + 17889654.

It is an arithmetic number, because the mean of its divisors is an integer number (1266714237600).

Almost surely, 2^{21011157121100} is an apocalyptic number.

21011157121100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21011157121100 is an abundant number, since it is smaller than the sum of its proper divisors (24590555432500).

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

21011157121100 is a wasteful number, since it uses less digits than its factorization.

21011157121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34569602 (or 34569595 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 23.

The spelling of 21011157121100 in words is "twenty-one trillion, eleven billion, one hundred fifty-seven million, one hundred twenty-one thousand, one hundred".