120122010100 has 36 divisors (see below), whose sum is σ = 260702274924. Its totient is φ = 48041889280.

The previous prime is 120122010089. The next prime is 120122010101. The reversal of 120122010100 is 1010221021.

It can be written as a sum of positive squares in 6 ways, for example, as 7314696676 + 112807313424 = 85526^2 + 335868^2 .

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 (120122010101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 642492 + ... + 808108.

It is an arithmetic number, because the mean of its divisors is an integer number (7241729859).

Almost surely, 2^120122010100 is an apocalyptic number.

120122010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120122010100 is an abundant number, since it is smaller than the sum of its proper divisors (140580264824).

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

120122010100 is a wasteful number, since it uses less digits than its factorization.

120122010100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172884 (or 172877 counting only the distinct ones).

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

Adding to 120122010100 its reverse (1010221021), we get a palindrome (121132231121).

The spelling of 120122010100 in words is "one hundred twenty billion, one hundred twenty-two million, ten thousand, one hundred".