102122000212200 has 48 divisors (see below), whose sum is σ = 316578200659680. Its totient is φ = 27232533389760.

The previous prime is 102122000212171. The next prime is 102122000212229. The reversal of 102122000212200 is 2212000221201.

It is an interprime number because it is at equal distance from previous prime (102122000212171) and next prime (102122000212229).

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 102122000212200.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85101666244 + ... + 85101667443.

It is an arithmetic number, because the mean of its divisors is an integer number (6595379180410).

Almost surely, 2^{102122000212200} is an apocalyptic number.

102122000212200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102122000212200 is an abundant number, since it is smaller than the sum of its proper divisors (214456200447480).

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

102122000212200 is a wasteful number, since it uses less digits than its factorization.

102122000212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170203333706 (or 170203333697 counting only the distinct ones).

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

Adding to 102122000212200 its reverse (2212000221201), we get a palindrome (104334000433401).

Subtracting from 102122000212200 its reverse (2212000221201), we obtain a palindrome (99909999990999).

The spelling of 102122000212200 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred twelve thousand, two hundred".