101132210120010 has 256 divisors, whose sum is σ = 259090359091200. Its totient is φ = 25228240404480.

The previous prime is 101132210120003. The next prime is 101132210120023. The reversal of 101132210120010 is 10021012231101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 678214441 + ... + 678363539.

It is an arithmetic number, because the mean of its divisors is an integer number (1012071715200).

Almost surely, 2^{101132210120010} is an apocalyptic number.

101132210120010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101132210120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129545179545600).

101132210120010 is an abundant number, since it is smaller than the sum of its proper divisors (157958148971190).

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

101132210120010 is a wasteful number, since it uses less digits than its factorization.

101132210120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149413.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101132210120010 its reverse (10021012231101), we get a palindrome (111153222351111).

The spelling of 101132210120010 in words is "one hundred one trillion, one hundred thirty-two billion, two hundred ten million, one hundred twenty thousand, ten".