101011111110100 has 72 divisors (see below), whose sum is σ = 232340429885760. Its totient is φ = 37986332382720.

The previous prime is 101011111110053. The next prime is 101011111110121. The reversal of 101011111110100 is 1011111110101.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30765394 + ... + 33889993.

It is an arithmetic number, because the mean of its divisors is an integer number (3226950415080).

Almost surely, 2^{101011111110100} is an apocalyptic number.

101011111110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011111110100 is an abundant number, since it is smaller than the sum of its proper divisors (131329318775660).

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

101011111110100 is a wasteful number, since it uses less digits than its factorization.

101011111110100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64656337 (or 64656330 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 10.

Adding to 101011111110100 its reverse (1011111110101), we get a palindrome (102022222220201).

Subtracting from 101011111110100 its reverse (1011111110101), we obtain a palindrome (99999999999999).

It can be divided in two parts, 10101111 and 1110100, that added together give a palindrome (11211211).

The spelling of 101011111110100 in words is "one hundred one trillion, eleven billion, one hundred eleven million, one hundred ten thousand, one hundred".