10100210676732 has 120 divisors (see below), whose sum is σ = 28833796862640. Its totient is φ = 3057536125440.

The previous prime is 10100210676667. The next prime is 10100210676733. The reversal of 10100210676732 is 23767601200101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10100210676733) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2031694 + ... + 4932362.

It is an arithmetic number, because the mean of its divisors is an integer number (240281640522).

Almost surely, 2^{10100210676732} is an apocalyptic number.

10100210676732 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 10100210676732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14416898431320).

10100210676732 is an abundant number, since it is smaller than the sum of its proper divisors (18733586185908).

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

10100210676732 is a wasteful number, since it uses less digits than its factorization.

10100210676732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901673 (or 2901662 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

Adding to 10100210676732 its reverse (23767601200101), we get a palindrome (33867811876833).

The spelling of 10100210676732 in words is "ten trillion, one hundred billion, two hundred ten million, six hundred seventy-six thousand, seven hundred thirty-two".