102111121011020 has 192 divisors, whose sum is σ = 248081634662400. Its totient is φ = 34891589591040.

The previous prime is 102111121010981. The next prime is 102111121011047. The reversal of 102111121011020 is 20110121111201.

It is a super-2 number, since 2×102111121011020² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102111121010986 and 102111121011004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6678723536 + ... + 6678738824.

It is an arithmetic number, because the mean of its divisors is an integer number (1292091847200).

Almost surely, 2^{102111121011020} is an apocalyptic number.

102111121011020 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 102111121011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124040817331200).

102111121011020 is an abundant number, since it is smaller than the sum of its proper divisors (145970513651380).

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

102111121011020 is a wasteful number, since it uses less digits than its factorization.

102111121011020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18048 (or 18046 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 102111121011020 its reverse (20110121111201), we get a palindrome (122221242122221).

The spelling of 102111121011020 in words is "one hundred two trillion, one hundred eleven billion, one hundred twenty-one million, eleven thousand, twenty".