102022202122000 has 40 divisors (see below), whose sum is σ = 246689684735832. Its totient is φ = 40808880848000.

The previous prime is 102022202121953. The next prime is 102022202122007. The reversal of 102022202122000 is 221202220201.

It can be written as a sum of positive squares in 4 ways, for example, as 21136785570576 + 80885416551424 = 4597476^2 + 8993632^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (102022202122007) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25505548531 + ... + 25505552530.

Almost surely, 2^{102022202122000} is an apocalyptic number.

102022202122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022202122000 is an abundant number, since it is smaller than the sum of its proper divisors (144667482613832).

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

102022202122000 is an equidigital number, since it uses as much as digits as its factorization.

102022202122000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51011101084 (or 51011101068 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 102022202122000 its reverse (221202220201), we get a palindrome (102243404342201).

The spelling of 102022202122000 in words is "one hundred two trillion, twenty-two billion, two hundred two million, one hundred twenty-two thousand".