10210220212200 has 96 divisors (see below), whose sum is σ = 31815681374400. Its totient is φ = 2708617973760.

The previous prime is 10210220212177. The next prime is 10210220212223. The reversal of 10210220212200 is 221202201201.

It is an interprime number because it is at equal distance from previous prime (10210220212177) and next prime (10210220212223).

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 10210220212200.

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, 43969780 + ... + 44201379.

It is an arithmetic number, because the mean of its divisors is an integer number (331413347650).

Almost surely, 2^{10210220212200} is an apocalyptic number.

10210220212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210220212200 is an abundant number, since it is smaller than the sum of its proper divisors (21605461162200).

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

10210220212200 is a wasteful number, since it uses less digits than its factorization.

10210220212200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88171371 (or 88171362 counting only the distinct ones).

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

Adding to 10210220212200 its reverse (221202201201), we get a palindrome (10431422413401).

The spelling of 10210220212200 in words is "ten trillion, two hundred ten billion, two hundred twenty million, two hundred twelve thousand, two hundred".