1020102110020 has 48 divisors (see below), whose sum is σ = 2449340248320. Its totient is φ = 349592840064.

The previous prime is 1020102110017. The next prime is 1020102110059. The reversal of 1020102110020 is 200112010201.

1020102110020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1020102110020³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1020102109979 and 1020102110006.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1315440 + ... + 1941799.

It is an arithmetic number, because the mean of its divisors is an integer number (51027921840).

Almost surely, 2^{1020102110020} is an apocalyptic number.

1020102110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020102110020 is an abundant number, since it is smaller than the sum of its proper divisors (1429238138300).

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

1020102110020 is a wasteful number, since it uses less digits than its factorization.

1020102110020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259492 (or 3259490 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1020102110020 its reverse (200112010201), we get a palindrome (1220214120221).

The spelling of 1020102110020 in words is "one trillion, twenty billion, one hundred two million, one hundred ten thousand, twenty".