100210033211120 has 160 divisors (see below), whose sum is σ = 266965778810880. Its totient is φ = 34268299407360.

The previous prime is 100210033211063. The next prime is 100210033211143. The reversal of 100210033211120 is 21112330012001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 879217496 + ... + 879331464.

It is an arithmetic number, because the mean of its divisors is an integer number (1668536117568).

Almost surely, 2^{100210033211120} is an apocalyptic number.

100210033211120 is a gapful number since it is divisible by the number (10) 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 100210033211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133482889405440).

100210033211120 is an abundant number, since it is smaller than the sum of its proper divisors (166755745599760).

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

100210033211120 is a wasteful number, since it uses less digits than its factorization.

100210033211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118063 (or 118057 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 100210033211120 its reverse (21112330012001), we get a palindrome (121322363223121).

The spelling of 100210033211120 in words is "one hundred trillion, two hundred ten billion, thirty-three million, two hundred eleven thousand, one hundred twenty".