101011100000100 has 72 divisors (see below), whose sum is σ = 292620042681120. Its totient is φ = 26902997479680.

The previous prime is 101011100000099. The next prime is 101011100000101. The reversal of 101011100000100 is 1000001110101.

It is an interprime number because it is at equal distance from previous prime (101011100000099) and next prime (101011100000101).

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 not an unprimeable number, because it can be changed into a prime (101011100000101) 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, 207855982 + ... + 208341381.

It is an arithmetic number, because the mean of its divisors is an integer number (4064167259460).

Almost surely, 2^{101011100000100} is an apocalyptic number.

101011100000100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101011100000100 is an abundant number, since it is smaller than the sum of its proper divisors (191608942681020).

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

101011100000100 is a wasteful number, since it uses less digits than its factorization.

101011100000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416198189 (or 416198182 counting only the distinct ones).

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

Adding to 101011100000100 its reverse (1000001110101), we get a palindrome (102011101110201).

The spelling of 101011100000100 in words is "one hundred one trillion, eleven billion, one hundred million, one hundred", and thus it is an aban number.