100211120010 has 96 divisors (see below), whose sum is σ = 266568906240. Its totient is φ = 26112513024.

The previous prime is 100211120003. The next prime is 100211120033. The reversal of 100211120010 is 10021112001.

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 = 100211119974 and 100211120001.

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, 617019 + ... + 762321.

It is an arithmetic number, because the mean of its divisors is an integer number (2776759440).

Almost surely, 2^100211120010 is an apocalyptic number.

100211120010 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 100211120010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133284453120).

100211120010 is an abundant number, since it is smaller than the sum of its proper divisors (166357786230).

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

100211120010 is a wasteful number, since it uses less digits than its factorization.

100211120010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145492 (or 145489 counting only the distinct ones).

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

Adding to 100211120010 its reverse (10021112001), we get a palindrome (110232232011).

It can be divided in two parts, 1002111 and 20010, that added together give a square (1022121 = 1011²).

The spelling of 100211120010 in words is "one hundred billion, two hundred eleven million, one hundred twenty thousand, ten".