102122021211120 has 480 divisors, whose sum is σ = 365649046963200. Its totient is φ = 25497215686656.

The previous prime is 102122021211113. The next prime is 102122021211193. The reversal of 102122021211120 is 21112120221201.

102122021211120 is a `hidden beast` number, since 10 + 212 + 202 + 121 + 1 + 120 = 666.

It is a super-2 number, since 2×102122021211120² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102122021211093 and 102122021211102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124390617 + ... + 125208903.

It is an arithmetic number, because the mean of its divisors is an integer number (761768847840).

Almost surely, 2^{102122021211120} is an apocalyptic number.

102122021211120 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 102122021211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182824523481600).

102122021211120 is an abundant number, since it is smaller than the sum of its proper divisors (263527025752080).

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

102122021211120 is a wasteful number, since it uses less digits than its factorization.

102122021211120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 818517 (or 818508 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102122021211120 its reverse (21112120221201), we get a palindrome (123234141432321).

The spelling of 102122021211120 in words is "one hundred two trillion, one hundred twenty-two billion, twenty-one million, two hundred eleven thousand, one hundred twenty".