101002101120 has 160 divisors (see below), whose sum is σ = 360696924720. Its totient is φ = 26933879808.

The previous prime is 101002101097. The next prime is 101002101131. The reversal of 101002101120 is 21101200101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 922332 + ... + 1026011.

Almost surely, 2^101002101120 is an apocalyptic number.

101002101120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101002101120 is an abundant number, since it is smaller than the sum of its proper divisors (259694823600).

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

101002101120 is an equidigital number, since it uses as much as digits as its factorization.

101002101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1948374 (or 1948353 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101002101120 its reverse (21101200101), we get a palindrome (122103301221).

The spelling of 101002101120 in words is "one hundred one billion, two million, one hundred one thousand, one hundred twenty".