101110200012100 has 144 divisors (see below), whose sum is σ = 231905095123968. Its totient is φ = 38188646559360.

The previous prime is 101110200012067. The next prime is 101110200012113. The reversal of 101110200012100 is 1210002011101.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 68920417 + ... + 70372183.

It is an arithmetic number, because the mean of its divisors is an integer number (1610452049472).

Almost surely, 2^{101110200012100} is an apocalyptic number.

101110200012100 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 101110200012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115952547561984).

101110200012100 is an abundant number, since it is smaller than the sum of its proper divisors (130794895111868).

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

101110200012100 is a wasteful number, since it uses less digits than its factorization.

101110200012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1452194 (or 1452187 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 101110200012100 its reverse (1210002011101), we get a palindrome (102320202023201).

The spelling of 101110200012100 in words is "one hundred one trillion, one hundred ten billion, two hundred million, twelve thousand, one hundred".