101000001111100 has 144 divisors (see below), whose sum is σ = 271871695986688. Its totient is φ = 31713143535360.

The previous prime is 101000001111017. The next prime is 101000001111131. The reversal of 101000001111100 is 1111100000101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (7).

101000001111100 is a modest number, since divided by 1111100 gives 10100 as remainder.

It is a congruent number.

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, 42540762 + ... + 44852161.

Almost surely, 2^{101000001111100} is an apocalyptic number.

101000001111100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000001111100 is an abundant number, since it is smaller than the sum of its proper divisors (170871694875588).

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

101000001111100 is a wasteful number, since it uses less digits than its factorization.

101000001111100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87393084 (or 87393077 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 7.

Adding to 101000001111100 its reverse (1111100000101), we get a palindrome (102111101111201).

It can be divided in two parts, 101000001 and 111100, that added together give a palindrome (101111101).

The spelling of 101000001111100 in words is "one hundred one trillion, one million, one hundred eleven thousand, one hundred".