101000101152 has 48 divisors (see below), whose sum is σ = 265144616352. Its totient is φ = 33664243200.

The previous prime is 101000101151. The next prime is 101000101177. The reversal of 101000101152 is 251101000101.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101000101151) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1684228 + ... + 1743164.

It is an arithmetic number, because the mean of its divisors is an integer number (5523846174).

Almost surely, 2^101000101152 is an apocalyptic number.

101000101152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101000101152 is an abundant number, since it is smaller than the sum of its proper divisors (164144515200).

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

101000101152 is a wasteful number, since it uses less digits than its factorization.

101000101152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76801 (or 76793 counting only the distinct ones).

The product of its (nonzero) digits is 10, while the sum is 12.

Adding to 101000101152 its reverse (251101000101), we get a palindrome (352101101253).

The spelling of 101000101152 in words is "one hundred one billion, one hundred one thousand, one hundred fifty-two".