100101012210 has 96 divisors (see below), whose sum is σ = 268766484480. Its totient is φ = 25822108800.

The previous prime is 100101012199. The next prime is 100101012211. The reversal of 100101012210 is 12210101001.

It is a happy number.

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 = 100101012192 and 100101012201.

It is not an unprimeable number, because it can be changed into a prime (100101012211) 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, 8869351 + ... + 8880629.

It is an arithmetic number, because the mean of its divisors is an integer number (2799650880).

Almost surely, 2^100101012210 is an apocalyptic number.

100101012210 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 100101012210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134383242240).

100101012210 is an abundant number, since it is smaller than the sum of its proper divisors (168665472270).

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

100101012210 is a wasteful number, since it uses less digits than its factorization.

100101012210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14504 (or 14501 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100101012210 its reverse (12210101001), we get a palindrome (112311113211).

The spelling of 100101012210 in words is "one hundred billion, one hundred one million, twelve thousand, two hundred ten".