10201112011020 has 384 divisors, whose sum is σ = 33220708319232. Its totient is φ = 2290863744000.

The previous prime is 10201112010989. The next prime is 10201112011049. The reversal of 10201112011020 is 2011021110201.

It is a super-2 number, since 2×10201112011020² (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10201112010987 and 10201112011005.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6878699199 + ... + 6878700681.

It is an arithmetic number, because the mean of its divisors is an integer number (86512261248).

Almost surely, 2^{10201112011020} is an apocalyptic number.

10201112011020 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 10201112011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16610354159616).

10201112011020 is an abundant number, since it is smaller than the sum of its proper divisors (23019596308212).

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

10201112011020 is a wasteful number, since it uses less digits than its factorization.

10201112011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2741 (or 2739 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10201112011020 its reverse (2011021110201), we get a palindrome (12212133121221).

The spelling of 10201112011020 in words is "ten trillion, two hundred one billion, one hundred twelve million, eleven thousand, twenty".