102101101002020 has 24 divisors (see below), whose sum is σ = 214414765059768. Its totient is φ = 40839973171200.

The previous prime is 102101101002013. The next prime is 102101101002119. The reversal of 102101101002020 is 20200101101201.

It can be written as a sum of positive squares in 4 ways, for example, as 26096077498624 + 76005023503396 = 5108432^2 + 8718086^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102101101001992 and 102101101002010.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27407261 + ... + 30908900.

It is an arithmetic number, because the mean of its divisors is an integer number (8933948544157).

Almost surely, 2^{102101101002020} is an apocalyptic number.

102101101002020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102101101002020 is an abundant number, since it is smaller than the sum of its proper divisors (112313664057748).

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

102101101002020 is a wasteful number, since it uses less digits than its factorization.

102101101002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58403711 (or 58403709 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102101101002020 its reverse (20200101101201), we get a palindrome (122301202103221).

The spelling of 102101101002020 in words is "one hundred two trillion, one hundred one billion, one hundred one million, two thousand, twenty".