120010210010100 has 864 divisors, whose sum is σ = 396514765430784. Its totient is φ = 30323312409600.

The previous prime is 120010210010099. The next prime is 120010210010123. The reversal of 120010210010100 is 1010012010021.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 229465028439 + ... + 229465028961.

It is an arithmetic number, because the mean of its divisors is an integer number (458929126656).

Almost surely, 2^{120010210010100} is an apocalyptic number.

120010210010100 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 120010210010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198257382715392).

120010210010100 is an abundant number, since it is smaller than the sum of its proper divisors (276504555420684).

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

120010210010100 is a wasteful number, since it uses less digits than its factorization.

120010210010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1357 (or 1347 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 120010210010100 its reverse (1010012010021), we get a palindrome (121020222020121).

The spelling of 120010210010100 in words is "one hundred twenty trillion, ten billion, two hundred ten million, ten thousand, one hundred".