211515200156100 has 72 divisors (see below), whose sum is σ = 612172226782368. Its totient is φ = 56386703360000.

The previous prime is 211515200156083. The next prime is 211515200156107. The reversal of 211515200156100 is 1651002515112.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (211515200156107) 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 23 ways as a sum of consecutive naturals, for example, 107460669 + ... + 109411268.

It is an arithmetic number, because the mean of its divisors is an integer number (8502392038644).

Almost surely, 2^{211515200156100} is an apocalyptic number.

211515200156100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211515200156100 is an abundant number, since it is smaller than the sum of its proper divisors (400657026626268).

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

211515200156100 is a wasteful number, since it uses less digits than its factorization.

211515200156100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216875205 (or 216875198 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 30.

The spelling of 211515200156100 in words is "two hundred eleven trillion, five hundred fifteen billion, two hundred million, one hundred fifty-six thousand, one hundred".