101130011212020 has 192 divisors, whose sum is σ = 325013960785920. Its totient is φ = 23015707379712.

The previous prime is 101130011212003. The next prime is 101130011212049. The reversal of 101130011212020 is 20212110031101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151689324 + ... + 152354556.

It is an arithmetic number, because the mean of its divisors is an integer number (1692781045760).

Almost surely, 2^{101130011212020} is an apocalyptic number.

101130011212020 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 101130011212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162506980392960).

101130011212020 is an abundant number, since it is smaller than the sum of its proper divisors (223883949573900).

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

101130011212020 is a wasteful number, since it uses less digits than its factorization.

101130011212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666814 (or 666812 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 101130011212020 its reverse (20212110031101), we get a palindrome (121342121243121).

The spelling of 101130011212020 in words is "one hundred one trillion, one hundred thirty billion, eleven million, two hundred twelve thousand, twenty".