101210120121132 has 576 divisors, whose sum is σ = 308865420864000. Its totient is φ = 27599433523200.

The previous prime is 101210120121119. The next prime is 101210120121157. The reversal of 101210120121132 is 231121021012101.

It is a happy number.

101210120121132 is a `hidden beast` number, since 10 + 1 + 210 + 1 + 201 + 211 + 32 = 666.

It is a super-2 number, since 2×101210120121132² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4364562994 + ... + 4364586182.

It is an arithmetic number, because the mean of its divisors is an integer number (536224689000).

Almost surely, 2^{101210120121132} is an apocalyptic number.

101210120121132 is a gapful number since it is divisible by the number (12) 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 101210120121132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154432710432000).

101210120121132 is an abundant number, since it is smaller than the sum of its proper divisors (207655300742868).

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

101210120121132 is a wasteful number, since it uses less digits than its factorization.

101210120121132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23582 (or 23577 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 18.

Adding to 101210120121132 its reverse (231121021012101), we get a palindrome (332331141133233).

The spelling of 101210120121132 in words is "one hundred one trillion, two hundred ten billion, one hundred twenty million, one hundred twenty-one thousand, one hundred thirty-two".