102100121215120 has 80 divisors (see below), whose sum is σ = 271310049331200. Its totient is φ = 35003763389952.

The previous prime is 102100121215051. The next prime is 102100121215121. The reversal of 102100121215120 is 21512121001201.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×102100121215120² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102100121215121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4675554 + ... + 15035326.

It is an arithmetic number, because the mean of its divisors is an integer number (3391375616640).

Almost surely, 2^{102100121215120} is an apocalyptic number.

102100121215120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100121215120 is an abundant number, since it is smaller than the sum of its proper divisors (169209928116080).

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

102100121215120 is a wasteful number, since it uses less digits than its factorization.

102100121215120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10377392 (or 10377386 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 19.

Adding to 102100121215120 its reverse (21512121001201), we get a palindrome (123612242216321).

The spelling of 102100121215120 in words is "one hundred two trillion, one hundred billion, one hundred twenty-one million, two hundred fifteen thousand, one hundred twenty".