101202002220100 has 72 divisors (see below), whose sum is σ = 219851837519328. Its totient is φ = 40435924089600.

The previous prime is 101202002220097. The next prime is 101202002220131. The reversal of 101202002220100 is 1022200202101.

It is a happy number.

It is a super-3 number, since 3×101202002220100³ (a number of 43 digits) contains 333 as substring.

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, 1522786072 + ... + 1522852528.

It is an arithmetic number, because the mean of its divisors is an integer number (3053497743324).

Almost surely, 2^{101202002220100} is an apocalyptic number.

101202002220100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101202002220100 is an abundant number, since it is smaller than the sum of its proper divisors (118649835299228).

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

101202002220100 is a wasteful number, since it uses less digits than its factorization.

101202002220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83125 (or 83118 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101202002220100 its reverse (1022200202101), we get a palindrome (102224202422201).

The spelling of 101202002220100 in words is "one hundred one trillion, two hundred two billion, two million, two hundred twenty thousand, one hundred".