101986478185100 has 144 divisors (see below), whose sum is σ = 237224339337216. Its totient is φ = 37958282208000.

The previous prime is 101986478185093. The next prime is 101986478185133. The reversal of 101986478185100 is 1581874689101.

It is a self number, because there is not a number n which added to its sum of digits gives 101986478185100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410994065 + ... + 411242135.

Almost surely, 2^{101986478185100} is an apocalyptic number.

101986478185100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101986478185100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118612169668608).

101986478185100 is an abundant number, since it is smaller than the sum of its proper divisors (135237861152116).

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

101986478185100 is a wasteful number, since it uses less digits than its factorization.

101986478185100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252976 (or 252969 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 59.

The spelling of 101986478185100 in words is "one hundred one trillion, nine hundred eighty-six billion, four hundred seventy-eight million, one hundred eighty-five thousand, one hundred".