101212010221200 has 120 divisors (see below), whose sum is σ = 324240054600000. Its totient is φ = 26987850785280.

The previous prime is 101212010221171. The next prime is 101212010221243. The reversal of 101212010221200 is 2122010212101.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×101212010221200³ (a number of 43 digits) contains 333 as substring.

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 101212010221200.

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, 12931426 + ... + 19226174.

It is an arithmetic number, because the mean of its divisors is an integer number (2702000455000).

Almost surely, 2^{101212010221200} is an apocalyptic number.

101212010221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101212010221200 is an abundant number, since it is smaller than the sum of its proper divisors (223028044378800).

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

101212010221200 is a wasteful number, since it uses less digits than its factorization.

101212010221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6308169 (or 6308158 counting only the distinct ones).

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

Adding to 101212010221200 its reverse (2122010212101), we get a palindrome (103334020433301).

Subtracting from 101212010221200 its reverse (2122010212101), we obtain a palindrome (99090000009099).

The spelling of 101212010221200 in words is "one hundred one trillion, two hundred twelve billion, ten million, two hundred twenty-one thousand, two hundred".