101002012100 has 72 divisors (see below), whose sum is σ = 239424780000. Its totient is φ = 36678009600.

The previous prime is 101002012081. The next prime is 101002012117. The reversal of 101002012100 is 1210200101.

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, 750776 + ... + 875024.

Almost surely, 2^101002012100 is an apocalyptic number.

101002012100 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 101002012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119712390000).

101002012100 is an abundant number, since it is smaller than the sum of its proper divisors (138422767900).

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

101002012100 is a wasteful number, since it uses less digits than its factorization.

101002012100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125013 (or 125006 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 101002012100 its reverse (1210200101), we get a palindrome (102212212201).

The spelling of 101002012100 in words is "one hundred one billion, two million, twelve thousand, one hundred".