101201202221100 has 72 divisors (see below), whose sum is σ = 292954417092288. Its totient is φ = 26973567412800.

The previous prime is 101201202221071. The next prime is 101201202221209. The reversal of 101201202221100 is 1122202102101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 101201202221100.

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, 83269734 + ... + 84476333.

It is an arithmetic number, because the mean of its divisors is an integer number (4068811348504).

Almost surely, 2^{101201202221100} is an apocalyptic number.

101201202221100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101201202221100 is an abundant number, since it is smaller than the sum of its proper divisors (191753214871188).

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

101201202221100 is a wasteful number, since it uses less digits than its factorization.

101201202221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167748095 (or 167748088 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101201202221100 its reverse (1122202102101), we get a palindrome (102323404323201).

The spelling of 101201202221100 in words is "one hundred one trillion, two hundred one billion, two hundred two million, two hundred twenty-one thousand, one hundred".