101210012211200 has 288 divisors, whose sum is σ = 257236938438480. Its totient is φ = 39469409894400.

The previous prime is 101210012211151. The next prime is 101210012211257. The reversal of 101210012211200 is 2112210012101.

It is a super-2 number, since 2×101210012211200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

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, 3197065772 + ... + 3197097428.

Almost surely, 2^{101210012211200} is an apocalyptic number.

101210012211200 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 101210012211200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128618469219240).

101210012211200 is an abundant number, since it is smaller than the sum of its proper divisors (156026926227280).

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

101210012211200 is a wasteful number, since it uses less digits than its factorization.

101210012211200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33253 (or 33228 counting only the distinct ones).

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

Adding to 101210012211200 its reverse (2112210012101), we get a palindrome (103322222223301).

The spelling of 101210012211200 in words is "one hundred one trillion, two hundred ten billion, twelve million, two hundred eleven thousand, two hundred".