102111110212020 has 768 divisors, whose sum is σ = 371590092324864. Its totient is φ = 20374861824000.

The previous prime is 102111110212009. The next prime is 102111110212039. The reversal of 102111110212020 is 20212011111201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2244621475 + ... + 2244666965.

It is an arithmetic number, because the mean of its divisors is an integer number (483841266048).

Almost surely, 2^{102111110212020} is an apocalyptic number.

102111110212020 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 102111110212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185795046162432).

102111110212020 is an abundant number, since it is smaller than the sum of its proper divisors (269478982112844).

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

102111110212020 is a wasteful number, since it uses less digits than its factorization.

102111110212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45872 (or 45870 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102111110212020 its reverse (20212011111201), we get a palindrome (122323121323221).

The spelling of 102111110212020 in words is "one hundred two trillion, one hundred eleven billion, one hundred ten million, two hundred twelve thousand, twenty".