101001011120 has 40 divisors (see below), whose sum is σ = 234848781216. Its totient is φ = 40396717568.

The previous prime is 101001011113. The next prime is 101001011143. The reversal of 101001011120 is 21110100101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 101001011098 and 101001011107.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 929564 + ... + 1032516.

Almost surely, 2^101001011120 is an apocalyptic number.

101001011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001011120 is an abundant number, since it is smaller than the sum of its proper divisors (133847770096).

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

101001011120 is a wasteful number, since it uses less digits than its factorization.

101001011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115229 (or 115223 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 8.

Adding to 101001011120 its reverse (21110100101), we get a palindrome (122111111221).

The spelling of 101001011120 in words is "one hundred one billion, one million, eleven thousand, one hundred twenty".