10011211220120 has 64 divisors (see below), whose sum is σ = 24575727939840. Its totient is φ = 3640032304000.

The previous prime is 10011211220119. The next prime is 10011211220123. The reversal of 10011211220120 is 2102211211001.

It is a junction number, because it is equal to n+sod(n) for n = 10011211220095 and 10011211220104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10011211220123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2667479 + ... + 5209401.

It is an arithmetic number, because the mean of its divisors is an integer number (383995749060).

Almost surely, 2^{10011211220120} is an apocalyptic number.

10011211220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011211220120 is an abundant number, since it is smaller than the sum of its proper divisors (14564516719720).

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

10011211220120 is a wasteful number, since it uses less digits than its factorization.

10011211220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2550896 (or 2550892 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10011211220120 its reverse (2102211211001), we get a palindrome (12113422431121).

It can be divided in two parts, 1001 and 1211220120, that added together give a palindrome (1211221121).

The spelling of 10011211220120 in words is "ten trillion, eleven billion, two hundred eleven million, two hundred twenty thousand, one hundred twenty".