101110202100100 has 72 divisors (see below), whose sum is σ = 221025645814400. Its totient is φ = 40146207292800.

The previous prime is 101110202100023. The next prime is 101110202100113. The reversal of 101110202100100 is 1001202011101.

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 23 ways as a sum of consecutive naturals, for example, 80539210 + ... + 81784990.

Almost surely, 2^{101110202100100} is an apocalyptic number.

101110202100100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101110202100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110512822907200).

101110202100100 is an abundant number, since it is smaller than the sum of its proper divisors (119915443714300).

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

101110202100100 is a wasteful number, since it uses less digits than its factorization.

101110202100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251773 (or 1251766 counting only the distinct ones).

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

Adding to 101110202100100 its reverse (1001202011101), we get a palindrome (102111404111201).

The spelling of 101110202100100 in words is "one hundred one trillion, one hundred ten billion, two hundred two million, one hundred thousand, one hundred".