10102211212120 has 128 divisors (see below), whose sum is σ = 25240912329600. Its totient is φ = 3619362267136.

The previous prime is 10102211212087. The next prime is 10102211212133. The reversal of 10102211212120 is 2121211220101.

It is a junction number, because it is equal to n+sod(n) for n = 10102211212094 and 10102211212103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1441686 + ... + 4720474.

It is an arithmetic number, because the mean of its divisors is an integer number (197194627575).

Almost surely, 2^{10102211212120} is an apocalyptic number.

10102211212120 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 10102211212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12620456164800).

10102211212120 is an abundant number, since it is smaller than the sum of its proper divisors (15138701117480).

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

10102211212120 is a wasteful number, since it uses less digits than its factorization.

10102211212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3279037 (or 3279033 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 10102211212120 its reverse (2121211220101), we get a palindrome (12223422432221).

The spelling of 10102211212120 in words is "ten trillion, one hundred two billion, two hundred eleven million, two hundred twelve thousand, one hundred twenty".