101002020 has 96 divisors (see below), whose sum is σ = 326543616. Its totient is φ = 22848000.

The previous prime is 101002019. The next prime is 101002021. The reversal of 101002020 is 20200101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (101002019) and next prime (101002021).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is not an unprimeable number, because it can be changed into a prime (101002021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41230 + ... + 43610.

It is an arithmetic number, because the mean of its divisors is an integer number (3401496).

Almost surely, 2^101002020 is an apocalyptic number.

101002020 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 101002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163271808).

101002020 is an abundant number, since it is smaller than the sum of its proper divisors (225541596).

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

101002020 is a wasteful number, since it uses less digits than its factorization.

101002020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2501 (or 2499 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 101002020 is about 10049.9761193746. The cubic root of 101002020 is about 465.7040554327.

Adding to 101002020 its reverse (20200101), we get a palindrome (121202121).

The spelling of 101002020 in words is "one hundred one million, two thousand, twenty".