101100556100 has 72 divisors (see below), whose sum is σ = 231347588640. Its totient is φ = 38243335680.

The previous prime is 101100556097. The next prime is 101100556103. The reversal of 101100556100 is 1655001101.

It is an interprime number because it is at equal distance from previous prime (101100556097) and next prime (101100556103).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (101100556103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1022444 + ... + 1116956.

Almost surely, 2^101100556100 is an apocalyptic number.

101100556100 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 101100556100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115673794320).

101100556100 is an abundant number, since it is smaller than the sum of its proper divisors (130247032540).

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

101100556100 is a wasteful number, since it uses less digits than its factorization.

101100556100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95109 (or 95102 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

Adding to 101100556100 its reverse (1655001101), we get a palindrome (102755557201).

The spelling of 101100556100 in words is "one hundred one billion, one hundred million, five hundred fifty-six thousand, one hundred".