102100121211120 has 160 divisors (see below), whose sum is σ = 320223785080320. Its totient is φ = 26909096524800.

The previous prime is 102100121211091. The next prime is 102100121211203. The reversal of 102100121211120 is 21112121001201.

It is a happy number.

It is a super-2 number, since 2×102100121211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102100121211120.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11310 + ... + 14289869.

It is an arithmetic number, because the mean of its divisors is an integer number (2001398656752).

Almost surely, 2^{102100121211120} is an apocalyptic number.

102100121211120 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 102100121211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160111892540160).

102100121211120 is an abundant number, since it is smaller than the sum of its proper divisors (218123663869200).

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

102100121211120 is a wasteful number, since it uses less digits than its factorization.

102100121211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14301543 (or 14301537 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102100121211120 its reverse (21112121001201), we get a palindrome (123212242212321).

The spelling of 102100121211120 in words is "one hundred two trillion, one hundred billion, one hundred twenty-one million, two hundred eleven thousand, one hundred twenty".