101020001001100 has 36 divisors (see below), whose sum is σ = 220684633092000. Its totient is φ = 40136805760960.

The previous prime is 101020001001077. The next prime is 101020001001187. The reversal of 101020001001100 is 1100100020101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3389918020 + ... + 3389947819.

It is an arithmetic number, because the mean of its divisors is an integer number (6130128697000).

Almost surely, 2^{101020001001100} is an apocalyptic number.

101020001001100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020001001100 is an abundant number, since it is smaller than the sum of its proper divisors (119664632090900).

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

101020001001100 is a wasteful number, since it uses less digits than its factorization.

101020001001100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6779866002 (or 6779865995 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 101020001001100 its reverse (1100100020101), we get a palindrome (102120101021201).

The spelling of 101020001001100 in words is "one hundred one trillion, twenty billion, one million, one thousand, one hundred".