1010006011100 has 72 divisors (see below), whose sum is σ = 2321000665200. Its totient is φ = 380178027520.

The previous prime is 1010006011097. The next prime is 1010006011127. The reversal of 1010006011100 is 11106000101.

1010006011100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1010006011100² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11685242 + ... + 11771358.

It is an arithmetic number, because the mean of its divisors is an integer number (32236120350).

Almost surely, 2^{1010006011100} is an apocalyptic number.

1010006011100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010006011100 is an abundant number, since it is smaller than the sum of its proper divisors (1310994654100).

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

1010006011100 is a wasteful number, since it uses less digits than its factorization.

1010006011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93047 (or 93040 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 11.

The spelling of 1010006011100 in words is "one trillion, ten billion, six million, eleven thousand, one hundred".