102022120000 has 140 divisors (see below), whose sum is σ = 255496586796. Its totient is φ = 40403200000.

The previous prime is 102022119977. The next prime is 102022120063. The reversal of 102022120000 is 21220201.

It can be written as a sum of positive squares in 10 ways, for example, as 22651454016 + 79370665984 = 150504^2 + 281728^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 4027374 + ... + 4052626.

Almost surely, 2^102022120000 is an apocalyptic number.

102022120000 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 102022120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127748293398).

102022120000 is an abundant number, since it is smaller than the sum of its proper divisors (153474466796).

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

102022120000 is an equidigital number, since it uses as much as digits as its factorization.

102022120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25386 (or 25361 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102022120000 its reverse (21220201), we get a palindrome (102043340201).

The spelling of 102022120000 in words is "one hundred two billion, twenty-two million, one hundred twenty thousand".