101020202101120 has 128 divisors (see below), whose sum is σ = 247600193148000. Its totient is φ = 39389293854720.

The previous prime is 101020202101037. The next prime is 101020202101331. The reversal of 101020202101120 is 21101202020101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×101020202101120² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 101020202101120.

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, 29525206 + ... + 32768554.

Almost surely, 2^{101020202101120} is an apocalyptic number.

101020202101120 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 101020202101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123800096574000).

101020202101120 is an abundant number, since it is smaller than the sum of its proper divisors (146579991046880).

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

101020202101120 is a wasteful number, since it uses less digits than its factorization.

101020202101120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244596 (or 3244584 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 101020202101120 its reverse (21101202020101), we get a palindrome (122121404121221).

The spelling of 101020202101120 in words is "one hundred one trillion, twenty billion, two hundred two million, one hundred one thousand, one hundred twenty".