101020202100012 has 144 divisors (see below), whose sum is σ = 264524578295040. Its totient is φ = 29956431907584.

The previous prime is 101020202100001. The next prime is 101020202100031. The reversal of 101020202100012 is 210001202020101.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30600073 + ... + 33740255.

It is an arithmetic number, because the mean of its divisors is an integer number (1836976238160).

Almost surely, 2^{101020202100012} is an apocalyptic number.

101020202100012 is a gapful number since it is divisible by the number (12) 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 101020202100012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132262289147520).

101020202100012 is an abundant number, since it is smaller than the sum of its proper divisors (163504376195028).

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

101020202100012 is a wasteful number, since it uses less digits than its factorization.

101020202100012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3140792 (or 3140777 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101020202100012 its reverse (210001202020101), we get a palindrome (311021404120113).

The spelling of 101020202100012 in words is "one hundred one trillion, twenty billion, two hundred two million, one hundred thousand, twelve".