101020101222112 has 96 divisors (see below), whose sum is σ = 208502430200064. Its totient is φ = 48139080192000.

The previous prime is 101020101222071. The next prime is 101020101222127. The reversal of 101020101222112 is 211222101020101.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

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, 4146487 + ... + 14806537.

It is an arithmetic number, because the mean of its divisors is an integer number (2171900314584).

Almost surely, 2^{101020101222112} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020101222112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104251215100032).

101020101222112 is an abundant number, since it is smaller than the sum of its proper divisors (107482328977952).

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

101020101222112 is a wasteful number, since it uses less digits than its factorization.

101020101222112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10660272 (or 10660264 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 101020101222112 its reverse (211222101020101), we get a palindrome (312242202242213).

The spelling of 101020101222112 in words is "one hundred one trillion, twenty billion, one hundred one million, two hundred twenty-two thousand, one hundred twelve".