1011102012100 has 18 divisors (see below), whose sum is σ = 2194091366474. Its totient is φ = 404440804800.

The previous prime is 1011102012023. The next prime is 1011102012187. The reversal of 1011102012100 is 12102011101.

It can be written as a sum of positive squares in 3 ways, for example, as 17683148484 + 993418863616 = 132978^2 + 996704^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5055509961 + ... + 5055510160.

Almost surely, 2^{1011102012100} is an apocalyptic number.

1011102012100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1011102012100 is an abundant number, since it is smaller than the sum of its proper divisors (1182989354374).

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

1011102012100 is a wasteful number, since it uses less digits than its factorization.

1011102012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10111020135 (or 10111020128 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 1011102012100 its reverse (12102011101), we get a palindrome (1023204023201).

Subtracting from 1011102012100 its reverse (12102011101), we obtain a palindrome (999000000999).

The spelling of 1011102012100 in words is "one trillion, eleven billion, one hundred two million, twelve thousand, one hundred".