120211010100 has 108 divisors (see below), whose sum is σ = 376942742176. Its totient is φ = 32043677760.

The previous prime is 120211010071. The next prime is 120211010107. The reversal of 120211010100 is 1010112021.

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 not an unprimeable number, because it can be changed into a prime (120211010107) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2389809 + ... + 2439591.

Almost surely, 2^120211010100 is an apocalyptic number.

120211010100 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 120211010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188471371088).

120211010100 is an abundant number, since it is smaller than the sum of its proper divisors (256731732076).

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

120211010100 is a wasteful number, since it uses less digits than its factorization.

120211010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52486 (or 52476 counting only the distinct ones).

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

Adding to 120211010100 its reverse (1010112021), we get a palindrome (121221122121).

It can be divided in two parts, 12021 and 1010100, that added together give a square (1022121 = 1011²).

The spelling of 120211010100 in words is "one hundred twenty billion, two hundred eleven million, ten thousand, one hundred".