101002020210 has 288 divisors, whose sum is σ = 333778648320. Its totient is φ = 20733553152.

The previous prime is 101002020199. The next prime is 101002020211. The reversal of 101002020210 is 12020200101.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101002020192 and 101002020201.

It is not an unprimeable number, because it can be changed into a prime (101002020211) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3926571 + ... + 3952209.

It is an arithmetic number, because the mean of its divisors is an integer number (1158953640).

Almost surely, 2^101002020210 is an apocalyptic number.

101002020210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101002020210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166889324160).

101002020210 is an abundant number, since it is smaller than the sum of its proper divisors (232776628110).

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

101002020210 is a wasteful number, since it uses less digits than its factorization.

101002020210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25722 (or 25706 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101002020210 its reverse (12020200101), we get a palindrome (113022220311).

The spelling of 101002020210 in words is "one hundred one billion, two million, twenty thousand, two hundred ten".