100102011210 has 96 divisors (see below), whose sum is σ = 269332998480. Its totient is φ = 25764480000.

The previous prime is 100102011179. The next prime is 100102011253. The reversal of 100102011210 is 12110201001.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 56743527681 + 43358483529 = 238209^2 + 208227^2 .

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 = 100102011192 and 100102011201.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11116710 + ... + 11125710.

Almost surely, 2^100102011210 is an apocalyptic number.

100102011210 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 100102011210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134666499240).

100102011210 is an abundant number, since it is smaller than the sum of its proper divisors (169230987270).

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

100102011210 is a wasteful number, since it uses less digits than its factorization.

100102011210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13304 (or 13301 counting only the distinct ones).

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

Adding to 100102011210 its reverse (12110201001), we get a palindrome (112212212211).

The spelling of 100102011210 in words is "one hundred billion, one hundred two million, eleven thousand, two hundred ten".