102012121100220 has 48 divisors (see below), whose sum is σ = 293353775278368. Its totient is φ = 26468009798400.

The previous prime is 102012121100209. The next prime is 102012121100231. The reversal of 102012121100220 is 22001121210201.

It is an interprime number because it is at equal distance from previous prime (102012121100209) and next prime (102012121100231).

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 102012121100220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22975700731 + ... + 22975705170.

It is an arithmetic number, because the mean of its divisors is an integer number (6111536984966).

Almost surely, 2^{102012121100220} is an apocalyptic number.

102012121100220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102012121100220 is an abundant number, since it is smaller than the sum of its proper divisors (191341654178148).

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

102012121100220 is a wasteful number, since it uses less digits than its factorization.

102012121100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45951405950 (or 45951405948 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 102012121100220 its reverse (22001121210201), we get a palindrome (124013242310421).

The spelling of 102012121100220 in words is "one hundred two trillion, twelve billion, one hundred twenty-one million, one hundred thousand, two hundred twenty".