101212210020200 has 96 divisors (see below), whose sum is σ = 235434032875800. Its totient is φ = 40464993239040.

The previous prime is 101212210020169. The next prime is 101212210020221. The reversal of 101212210020200 is 2020012212101.

It can be written as a sum of positive squares in 12 ways, for example, as 10734941122084 + 90477268898116 = 3276422^2 + 9511954^2 .

It is a super-3 number, since 3×101212210020200³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 4815720092 + ... + 4815741108.

Almost surely, 2^{101212210020200} is an apocalyptic number.

101212210020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212210020200 is an abundant number, since it is smaller than the sum of its proper divisors (134221822855600).

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

101212210020200 is a wasteful number, since it uses less digits than its factorization.

101212210020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31719 (or 31710 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101212210020200 its reverse (2020012212101), we get a palindrome (103232222232301).

The spelling of 101212210020200 in words is "one hundred one trillion, two hundred twelve billion, two hundred ten million, twenty thousand, two hundred".