100120000122000 has 120 divisors (see below), whose sum is σ = 349685787155640. Its totient is φ = 26698666694400.

The previous prime is 100120000121983. The next prime is 100120000122017. The reversal of 100120000122000 is 221000021001.

It is an interprime number because it is at equal distance from previous prime (100120000121983) and next prime (100120000122017).

It can be written as a sum of positive squares in 4 ways, for example, as 26478063827856 + 73641936294144 = 5145684^2 + 8581488^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 2781093115 + ... + 2781129114.

It is an arithmetic number, because the mean of its divisors is an integer number (2914048226297).

Almost surely, 2^{100120000122000} is an apocalyptic number.

100120000122000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100120000122000 is an abundant number, since it is smaller than the sum of its proper divisors (249565787033640).

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

100120000122000 is a wasteful number, since it uses less digits than its factorization.

100120000122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5562222258 (or 5562222239 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100120000122000 its reverse (221000021001), we get a palindrome (100341000143001).

The spelling of 100120000122000 in words is "one hundred trillion, one hundred twenty billion, one hundred twenty-two thousand".