101021102020 has 48 divisors (see below), whose sum is σ = 214476116400. Its totient is φ = 39964852224.

The previous prime is 101021101999. The next prime is 101021102023. The reversal of 101021102020 is 20201120101.

It can be written as a sum of positive squares in 8 ways, for example, as 14546289664 + 86474812356 = 120608^2 + 294066^2 .

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 = 101021101988 and 101021102006.

It is not an unprimeable number, because it can be changed into a prime (101021102023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2988252 + ... + 3021868.

It is an arithmetic number, because the mean of its divisors is an integer number (4468252425).

Almost surely, 2^101021102020 is an apocalyptic number.

101021102020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101021102020 is an abundant number, since it is smaller than the sum of its proper divisors (113455014380).

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

101021102020 is a wasteful number, since it uses less digits than its factorization.

101021102020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35272 (or 35270 counting only the distinct ones).

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

Adding to 101021102020 its reverse (20201120101), we get a palindrome (121222222121).

The spelling of 101021102020 in words is "one hundred one billion, twenty-one million, one hundred two thousand, twenty".