120002001102100 has 72 divisors (see below), whose sum is σ = 296931648392568. Its totient is φ = 41702052864000.

The previous prime is 120002001102089. The next prime is 120002001102103. The reversal of 120002001102100 is 1201100200021.

It can be written as a sum of positive squares in 12 ways, for example, as 48865664198404 + 71136336903696 = 6990398^2 + 8434236^2 .

It is a super-2 number, since 2×120002001102100² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120002001102103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2714955301 + ... + 2714999500.

It is an arithmetic number, because the mean of its divisors is an integer number (4124050672119).

Almost surely, 2^{120002001102100} is an apocalyptic number.

120002001102100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120002001102100 is an abundant number, since it is smaller than the sum of its proper divisors (176929647290468).

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

120002001102100 is a wasteful number, since it uses less digits than its factorization.

120002001102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5429954845 (or 5429954838 counting only the distinct ones).

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

Adding to 120002001102100 its reverse (1201100200021), we get a palindrome (121203101302121).

The spelling of 120002001102100 in words is "one hundred twenty trillion, two billion, one million, one hundred two thousand, one hundred".