101210111202200 has 384 divisors, whose sum is σ = 316412518302720. Its totient is φ = 29076341299200.

The previous prime is 101210111202143. The next prime is 101210111202203. The reversal of 101210111202200 is 2202111012101.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101210111202203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135162029 + ... + 135908771.

It is an arithmetic number, because the mean of its divisors is an integer number (823990933080).

Almost surely, 2^{101210111202200} is an apocalyptic number.

101210111202200 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 101210111202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158206259151360).

101210111202200 is an abundant number, since it is smaller than the sum of its proper divisors (215202407100520).

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

101210111202200 is a wasteful number, since it uses less digits than its factorization.

101210111202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747467 (or 747458 counting only the distinct ones).

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

Adding to 101210111202200 its reverse (2202111012101), we get a palindrome (103412222214301).

The spelling of 101210111202200 in words is "one hundred one trillion, two hundred ten billion, one hundred eleven million, two hundred two thousand, two hundred".