101102120021000 has 128 divisors (see below), whose sum is σ = 270422576386560. Its totient is φ = 34657606944000.

The previous prime is 101102120020991. The next prime is 101102120021051. The reversal of 101102120021000 is 120021201101.

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, 39448685 + ... + 41933315.

It is an arithmetic number, because the mean of its divisors is an integer number (2112676378020).

Almost surely, 2^{101102120021000} is an apocalyptic number.

101102120021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101102120021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135211288193280).

101102120021000 is an abundant number, since it is smaller than the sum of its proper divisors (169320456365560).

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

101102120021000 is a wasteful number, since it uses less digits than its factorization.

101102120021000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2490472 (or 2490458 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 101102120021000 its reverse (120021201101), we get a palindrome (101222141222101).

The spelling of 101102120021000 in words is "one hundred one trillion, one hundred two billion, one hundred twenty million, twenty-one thousand".