101120100212120 has 384 divisors, whose sum is σ = 270610421114880. Its totient is φ = 33686288640000.

The previous prime is 101120100212107. The next prime is 101120100212123. The reversal of 101120100212120 is 21212001021101.

It is a junction number, because it is equal to n+sod(n) for n = 101120100212095 and 101120100212104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101120100212123) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7144774964 + ... + 7144789116.

It is an arithmetic number, because the mean of its divisors is an integer number (704714638320).

Almost surely, 2^{101120100212120} is an apocalyptic number.

101120100212120 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 101120100212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135305210557440).

101120100212120 is an abundant number, since it is smaller than the sum of its proper divisors (169490320902760).

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

101120100212120 is a wasteful number, since it uses less digits than its factorization.

101120100212120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15695 (or 15672 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101120100212120 its reverse (21212001021101), we get a palindrome (122332101233221).

The spelling of 101120100212120 in words is "one hundred one trillion, one hundred twenty billion, one hundred million, two hundred twelve thousand, one hundred twenty".