101202000210220 has 192 divisors, whose sum is σ = 270635784249600. Its totient is φ = 30918845583360.

The previous prime is 101202000210197. The next prime is 101202000210287. The reversal of 101202000210220 is 22012000202101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a self number, because there is not a number n which added to its sum of digits gives 101202000210220.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302842986 + ... + 303176974.

It is an arithmetic number, because the mean of its divisors is an integer number (1409561376300).

Almost surely, 2^{101202000210220} is an apocalyptic number.

101202000210220 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 101202000210220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135317892124800).

101202000210220 is an abundant number, since it is smaller than the sum of its proper divisors (169433784039380).

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

101202000210220 is a wasteful number, since it uses less digits than its factorization.

101202000210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339788 (or 339786 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 101202000210220 its reverse (22012000202101), we get a palindrome (123214000412321).

The spelling of 101202000210220 in words is "one hundred one trillion, two hundred two billion, two hundred ten thousand, two hundred twenty".