101120022002120 has 256 divisors, whose sum is σ = 263972033740800. Its totient is φ = 34454363074560.

The previous prime is 101120022002117. The next prime is 101120022002141. The reversal of 101120022002120 is 21200220021101.

It is a junction number, because it is equal to n+sod(n) for n = 101120022002095 and 101120022002104.

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, 1972547609 + ... + 1972598871.

It is an arithmetic number, because the mean of its divisors is an integer number (1031140756800).

Almost surely, 2^{101120022002120} is an apocalyptic number.

101120022002120 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 101120022002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131986016870400).

101120022002120 is an abundant number, since it is smaller than the sum of its proper divisors (162852011738680).

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

101120022002120 is a wasteful number, since it uses less digits than its factorization.

101120022002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52468 (or 52464 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101120022002120 its reverse (21200220021101), we get a palindrome (122320242023221).

The spelling of 101120022002120 in words is "one hundred one trillion, one hundred twenty billion, twenty-two million, two thousand, one hundred twenty".