101011212021200 has 240 divisors, whose sum is σ = 263119405280256. Its totient is φ = 37044123801600.

The previous prime is 101011212021169. The next prime is 101011212021281. The reversal of 101011212021200 is 2120212110101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 648481727 + ... + 648637473.

Almost surely, 2^{101011212021200} is an apocalyptic number.

101011212021200 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 101011212021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131559702640128).

101011212021200 is an abundant number, since it is smaller than the sum of its proper divisors (162108193259056).

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

101011212021200 is a wasteful number, since it uses less digits than its factorization.

101011212021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156622 (or 156611 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101011212021200 its reverse (2120212110101), we get a palindrome (103131424131301).

The spelling of 101011212021200 in words is "one hundred one trillion, eleven billion, two hundred twelve million, twenty-one thousand, two hundred".