101121210120 has 512 divisors, whose sum is σ = 372252672000. Its totient is φ = 21478625280.

The previous prime is 101121210037. The next prime is 101121210277. The reversal of 101121210120 is 21012121101.

It is a super-2 number, since 2×101121210120² (a number of 23 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 = 101121210096 and 101121210105.

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, 271102254 + ... + 271102626.

It is an arithmetic number, because the mean of its divisors is an integer number (727056000).

Almost surely, 2^101121210120 is an apocalyptic number.

101121210120 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 101121210120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186126336000).

101121210120 is an abundant number, since it is smaller than the sum of its proper divisors (271131461880).

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

101121210120 is a wasteful number, since it uses less digits than its factorization.

101121210120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 809 counting only the distinct ones).

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

Adding to 101121210120 its reverse (21012121101), we get a palindrome (122133331221).

The spelling of 101121210120 in words is "one hundred one billion, one hundred twenty-one million, two hundred ten thousand, one hundred twenty".