1011012200100 has 180 divisors, whose sum is σ = 3745488370624. Its totient is φ = 231088489920.

The previous prime is 1011012199997. The next prime is 1011012200101. The reversal of 1011012200100 is 10022101101.

It is a happy number.

1011012200100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

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

It is not an unprimeable number, because it can be changed into a prime (1011012200101) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 8858752 + ... + 8972151.

Almost surely, 2^{1011012200100} is an apocalyptic number.

1011012200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011012200100 is an abundant number, since it is smaller than the sum of its proper divisors (2734476170524).

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

1011012200100 is a wasteful number, since it uses less digits than its factorization.

1011012200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17830936 (or 17830920 counting only the distinct ones).

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

Adding to 1011012200100 its reverse (10022101101), we get a palindrome (1021034301201).

The spelling of 1011012200100 in words is "one trillion, eleven billion, twelve million, two hundred thousand, one hundred".