101202020212200 has 192 divisors, whose sum is σ = 321352065365760. Its totient is φ = 26334630174720.

The previous prime is 101202020212133. The next prime is 101202020212229. The reversal of 101202020212200 is 2212020202101.

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 101202020212200.

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, 4178884 + ... + 14827916.

It is an arithmetic number, because the mean of its divisors is an integer number (1673708673780).

Almost surely, 2^{101202020212200} is an apocalyptic number.

101202020212200 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 101202020212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160676032682880).

101202020212200 is an abundant number, since it is smaller than the sum of its proper divisors (220150045153560).

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

101202020212200 is a wasteful number, since it uses less digits than its factorization.

101202020212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10649436 (or 10649427 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101202020212200 its reverse (2212020202101), we get a palindrome (103414040414301).

The spelling of 101202020212200 in words is "one hundred one trillion, two hundred two billion, twenty million, two hundred twelve thousand, two hundred".