101020210002 has 96 divisors (see below), whose sum is σ = 236815300800. Its totient is φ = 31013829504.

The previous prime is 101020209959. The next prime is 101020210003. The reversal of 101020210002 is 200012020101.

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

It is not an unprimeable number, because it can be changed into a prime (101020210003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21091824 + ... + 21096612.

It is an arithmetic number, because the mean of its divisors is an integer number (2466826050).

Almost surely, 2^101020210002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101020210002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118407650400).

101020210002 is an abundant number, since it is smaller than the sum of its proper divisors (135795090798).

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

101020210002 is a wasteful number, since it uses less digits than its factorization.

101020210002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6520 (or 6517 counting only the distinct ones).

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

Adding to 101020210002 its reverse (200012020101), we get a palindrome (301032230103).

The spelling of 101020210002 in words is "one hundred one billion, twenty million, two hundred ten thousand, two".