102100054217120 has 48 divisors (see below), whose sum is σ = 241657240359528. Its totient is φ = 40764531778560.

The previous prime is 102100054217107. The next prime is 102100054217123. The reversal of 102100054217120 is 21712450001201.

It can be written as a sum of positive squares in 4 ways, for example, as 99181601328016 + 2918452889104 = 9958996^2 + 1708348^2 .

It is a super-2 number, since 2×102100054217120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 102100054217120.

It is not an unprimeable number, because it can be changed into a prime (102100054217123) 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, 589678079 + ... + 589851198.

Almost surely, 2^{102100054217120} is an apocalyptic number.

102100054217120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100054217120 is an abundant number, since it is smaller than the sum of its proper divisors (139557186142408).

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

102100054217120 is a wasteful number, since it uses less digits than its factorization.

102100054217120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1179529833 (or 1179529825 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 26.

The spelling of 102100054217120 in words is "one hundred two trillion, one hundred billion, fifty-four million, two hundred seventeen thousand, one hundred twenty".