1012011002100 has 108 divisors (see below), whose sum is σ = 3625248323424. Its totient is φ = 231316799040.

The previous prime is 1012011002063. The next prime is 1012011002111. The reversal of 1012011002100 is 12001102101.

It is a happy number.

1012011002100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80312034 + ... + 80324633.

Almost surely, 2^{1012011002100} is an apocalyptic number.

1012011002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012011002100 is an abundant number, since it is smaller than the sum of its proper divisors (2613237321324).

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

1012011002100 is a wasteful number, since it uses less digits than its factorization.

1012011002100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160636694 (or 160636684 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 1012011002100 its reverse (12001102101), we get a palindrome (1024012104201).

The spelling of 1012011002100 in words is "one trillion, twelve billion, eleven million, two thousand, one hundred".