102100001200120 has 192 divisors, whose sum is σ = 294530281284960. Its totient is φ = 31495300300800.

The previous prime is 102100001200117. The next prime is 102100001200187. The reversal of 102100001200120 is 21002100001201.

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

102100001200120 is a modest number, since divided by 1200120 gives 1021000 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 102100001200097 and 102100001200106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22319101 + ... + 26501740.

Almost surely, 2^{102100001200120} is an apocalyptic number.

102100001200120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102100001200120 is an abundant number, since it is smaller than the sum of its proper divisors (192430280084840).

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

102100001200120 is a wasteful number, since it uses less digits than its factorization.

102100001200120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48820974 (or 48820963 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 102100001200120 its reverse (21002100001201), we get a palindrome (123102101201321).

The spelling of 102100001200120 in words is "one hundred two trillion, one hundred billion, one million, two hundred thousand, one hundred twenty".