101202001100 has 72 divisors (see below), whose sum is σ = 222893754720. Its totient is φ = 39879290880.

The previous prime is 101202001097. The next prime is 101202001127. The reversal of 101202001100 is 1100202101.

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, 1962446 + ... + 2013354.

Almost surely, 2^101202001100 is an apocalyptic number.

101202001100 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 101202001100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111446877360).

101202001100 is an abundant number, since it is smaller than the sum of its proper divisors (121691753620).

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

101202001100 is a wasteful number, since it uses less digits than its factorization.

101202001100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51219 (or 51212 counting only the distinct ones).

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

Adding to 101202001100 its reverse (1100202101), we get a palindrome (102302203201).

It can be divided in two parts, 101202001 and 100, that added together give a palindrome (101202101).

The spelling of 101202001100 in words is "one hundred one billion, two hundred two million, one thousand, one hundred".