101855988810 has 128 divisors (see below), whose sum is σ = 278757158400. Its totient is φ = 26449943040.

The previous prime is 101855988809. The next prime is 101855988841. The reversal of 101855988810 is 18889558101.

101855988810 is a `hidden beast` number, since 1 + 0 + 1 + 8 + 559 + 8 + 8 + 81 + 0 = 666.

It is a super-2 number, since 2×101855988810² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6157731 + ... + 6174249.

It is an arithmetic number, because the mean of its divisors is an integer number (2177790300).

Almost surely, 2^101855988810 is an apocalyptic number.

101855988810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101855988810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139378579200).

101855988810 is an abundant number, since it is smaller than the sum of its proper divisors (176901169590).

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

101855988810 is a wasteful number, since it uses less digits than its factorization.

101855988810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17133 (or 17127 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 54.

It can be divided in two parts, 10185 and 5988810, that added together give a palindrome (5998995).

The spelling of 101855988810 in words is "one hundred one billion, eight hundred fifty-five million, nine hundred eighty-eight thousand, eight hundred ten".