102101020002020 has 192 divisors, whose sum is σ = 246486203712000. Its totient is φ = 35191970242560.

The previous prime is 102101020002001. The next prime is 102101020002043. The reversal of 102101020002020 is 20200020101201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 102101020001992 and 102101020002010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 454966601 + ... + 455190959.

It is an arithmetic number, because the mean of its divisors is an integer number (1283782311000).

Almost surely, 2^{102101020002020} is an apocalyptic number.

102101020002020 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 102101020002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123243101856000).

102101020002020 is an abundant number, since it is smaller than the sum of its proper divisors (144385183709980).

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

102101020002020 is a wasteful number, since it uses less digits than its factorization.

102101020002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225238 (or 225236 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 102101020002020 its reverse (20200020101201), we get a palindrome (122301040103221).

The spelling of 102101020002020 in words is "one hundred two trillion, one hundred one billion, twenty million, two thousand, twenty".