101002210092 has 192 divisors, whose sum is σ = 318708311040. Its totient is φ = 27002668032.

The previous prime is 101002210037. The next prime is 101002210151. The reversal of 101002210092 is 290012200101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2200683 + ... + 2246109.

It is an arithmetic number, because the mean of its divisors is an integer number (1659939120).

Almost surely, 2^101002210092 is an apocalyptic number.

101002210092 is a gapful number since it is divisible by the number (12) 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 101002210092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159354155520).

101002210092 is an abundant number, since it is smaller than the sum of its proper divisors (217706100948).

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

101002210092 is a wasteful number, since it uses less digits than its factorization.

101002210092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45637 (or 45629 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 101002210092 its reverse (290012200101), we get a palindrome (391014410193).

The spelling of 101002210092 in words is "one hundred one billion, two million, two hundred ten thousand, ninety-two".