101102110100 has 36 divisors (see below), whose sum is σ = 219822714300. Its totient is φ = 40361372160.

The previous prime is 101102110069. The next prime is 101102110117. The reversal of 101102110100 is 1011201101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 12138310276 + 88963799824 = 110174^2 + 298268^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 942245 + ... + 1044044.

Almost surely, 2^101102110100 is an apocalyptic number.

101102110100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101102110100 is an abundant number, since it is smaller than the sum of its proper divisors (118720604200).

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

101102110100 is a wasteful number, since it uses less digits than its factorization.

101102110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1986812 (or 1986805 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101102110100 its reverse (1011201101), we get a palindrome (102113311201).

The spelling of 101102110100 in words is "one hundred one billion, one hundred two million, one hundred ten thousand, one hundred".