120212132210100 has 216 divisors, whose sum is σ = 430663291618560. Its totient is φ = 27474715779840.

The previous prime is 120212132210083. The next prime is 120212132210141. The reversal of 120212132210100 is 1012231212021.

120212132210100 is a `hidden beast` number, since 1 + 20 + 212 + 1 + 322 + 10 + 100 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 73614261 + ... + 75229539.

Almost surely, 2^{120212132210100} is an apocalyptic number.

120212132210100 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 120212132210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215331645809280).

120212132210100 is an abundant number, since it is smaller than the sum of its proper divisors (310451159408460).

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

120212132210100 is a wasteful number, since it uses less digits than its factorization.

120212132210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627119 (or 1627109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 120212132210100 its reverse (1012231212021), we get a palindrome (121224363422121).

The spelling of 120212132210100 in words is "one hundred twenty trillion, two hundred twelve billion, one hundred thirty-two million, two hundred ten thousand, one hundred".