101120110001000 has 64 divisors (see below), whose sum is σ = 236654499744000. Its totient is φ = 40442327361600.

The previous prime is 101120110000979. The next prime is 101120110001093. The reversal of 101120110001000 is 100011021101.

It is a happy number.

It is a super-2 number, since 2×101120110001000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63260 + ... + 14221259.

It is an arithmetic number, because the mean of its divisors is an integer number (3697726558500).

Almost surely, 2^{101120110001000} is an apocalyptic number.

101120110001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120110001000 is an abundant number, since it is smaller than the sum of its proper divisors (135534389743000).

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

101120110001000 is a wasteful number, since it uses less digits than its factorization.

101120110001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14291619 (or 14291605 counting only the distinct ones).

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

Adding to 101120110001000 its reverse (100011021101), we get a palindrome (101220121022101).

The spelling of 101120110001000 in words is "one hundred one trillion, one hundred twenty billion, one hundred ten million, one thousand".