102101101122020 has 384 divisors, whose sum is σ = 300844921208832. Its totient is φ = 28082092953600.

The previous prime is 102101101121989. The next prime is 102101101122101. The reversal of 102101101122020 is 20221101101201.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 102101101121986 and 102101101122004.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39198680 + ... + 41722160.

It is an arithmetic number, because the mean of its divisors is an integer number (783450315648).

Almost surely, 2^{102101101122020} is an apocalyptic number.

102101101122020 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 102101101122020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150422460604416).

102101101122020 is an abundant number, since it is smaller than the sum of its proper divisors (198743820086812).

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

102101101122020 is a wasteful number, since it uses less digits than its factorization.

102101101122020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2523611 (or 2523609 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 102101101122020 its reverse (20221101101201), we get a palindrome (122322202223221).

The spelling of 102101101122020 in words is "one hundred two trillion, one hundred one billion, one hundred one million, one hundred twenty-two thousand, twenty".