101012122011220 has 192 divisors, whose sum is σ = 256694828544000. Its totient is φ = 33350867303040.

The previous prime is 101012122011211. The next prime is 101012122011253. The reversal of 101012122011220 is 22110221210101.

It is a junction number, because it is equal to n+sod(n) for n = 101012122011194 and 101012122011203.

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, 18532051 + ... + 23355109.

It is an arithmetic number, because the mean of its divisors is an integer number (1336952232000).

Almost surely, 2^{101012122011220} is an apocalyptic number.

101012122011220 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 101012122011220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128347414272000).

101012122011220 is an abundant number, since it is smaller than the sum of its proper divisors (155682706532780).

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

101012122011220 is a wasteful number, since it uses less digits than its factorization.

101012122011220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4823203 (or 4823187 counting only the distinct ones).

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

Adding to 101012122011220 its reverse (22110221210101), we get a palindrome (123122343221321).

The spelling of 101012122011220 in words is "one hundred one trillion, twelve billion, one hundred twenty-two million, eleven thousand, two hundred twenty".