102122022101112 has 224 divisors, whose sum is σ = 309187811756880. Its totient is φ = 31420397352960.

The previous prime is 102122022101081. The next prime is 102122022101123. The reversal of 102122022101112 is 211101220221201.

It is a super-3 number, since 3×102122022101112³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2181278728 + ... + 2181325544.

Almost surely, 2^{102122022101112} is an apocalyptic number.

102122022101112 is a gapful number since it is divisible by the number (12) 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 102122022101112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154593905878440).

102122022101112 is an abundant number, since it is smaller than the sum of its proper divisors (207065789655768).

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

102122022101112 is a wasteful number, since it uses less digits than its factorization.

102122022101112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75625 (or 75606 counting only the distinct ones).

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

Adding to 102122022101112 its reverse (211101220221201), we get a palindrome (313223242322313).

The spelling of 102122022101112 in words is "one hundred two trillion, one hundred twenty-two billion, twenty-two million, one hundred one thousand, one hundred twelve".