101000100011100 has 36 divisors (see below), whose sum is σ = 292226956032984. Its totient is φ = 26933360002880.

The previous prime is 101000100011099. The next prime is 101000100011101. The reversal of 101000100011100 is 1110001000101.

It is an interprime number because it is at equal distance from previous prime (101000100011099) and next prime (101000100011101).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101000100011101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168333499719 + ... + 168333500318.

Almost surely, 2^{101000100011100} is an apocalyptic number.

101000100011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101000100011100 is an abundant number, since it is smaller than the sum of its proper divisors (191226856021884).

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

101000100011100 is a wasteful number, since it uses less digits than its factorization.

101000100011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336667000054 (or 336667000047 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101000100011100 its reverse (1110001000101), we get a palindrome (102110101011201).

The spelling of 101000100011100 in words is "one hundred one trillion, one hundred million, eleven thousand, one hundred".