101112002211000 has 128 divisors (see below), whose sum is σ = 344148487637760. Its totient is φ = 24512000528000.

The previous prime is 101112002210971. The next prime is 101112002211091. The reversal of 101112002211000 is 112200211101.

101112002211000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×101112002211000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1531967034 + ... + 1532033033.

It is an arithmetic number, because the mean of its divisors is an integer number (2688660059670).

Almost surely, 2^{101112002211000} is an apocalyptic number.

101112002211000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101112002211000 is an abundant number, since it is smaller than the sum of its proper divisors (243036485426760).

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

101112002211000 is a wasteful number, since it uses less digits than its factorization.

101112002211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3064000102 (or 3064000088 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 101112002211000 its reverse (112200211101), we get a palindrome (101224202422101).

The spelling of 101112002211000 in words is "one hundred one trillion, one hundred twelve billion, two million, two hundred eleven thousand".