102001022020 has 12 divisors (see below), whose sum is σ = 214202146284. Its totient is φ = 40800408800.

The previous prime is 102001021973. The next prime is 102001022029. The reversal of 102001022020 is 20220100201.

102001022020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 57591360324 + 44409661696 = 239982^2 + 210736^2 .

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 = 102001021988 and 102001022006.

It is not an unprimeable number, because it can be changed into a prime (102001022029) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2550025531 + ... + 2550025570.

It is an arithmetic number, because the mean of its divisors is an integer number (17850178857).

Almost surely, 2^102001022020 is an apocalyptic number.

102001022020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102001022020 is an abundant number, since it is smaller than the sum of its proper divisors (112201124264).

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

102001022020 is a wasteful number, since it uses less digits than its factorization.

102001022020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100051110 (or 5100051108 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 102001022020 its reverse (20220100201), we get a palindrome (122221122221).

The spelling of 102001022020 in words is "one hundred two billion, one million, twenty-two thousand, twenty".