10121001211220 has 24 divisors (see below), whose sum is σ = 21258088160904. Its totient is φ = 4047641319296.

The previous prime is 10121001211219. The next prime is 10121001211291. The reversal of 10121001211220 is 2211210012101.

10121001211220 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 6482910376336 + 3638090834884 = 2546156^2 + 1907378^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10121001211195 and 10121001211204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47338499 + ... + 47551818.

It is an arithmetic number, because the mean of its divisors is an integer number (885753673371).

Almost surely, 2^{10121001211220} is an apocalyptic number.

10121001211220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121001211220 is an abundant number, since it is smaller than the sum of its proper divisors (11137086949684).

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

10121001211220 is a wasteful number, since it uses less digits than its factorization.

10121001211220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94895659 (or 94895657 counting only the distinct ones).

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

Adding to 10121001211220 its reverse (2211210012101), we get a palindrome (12332211223321).

The spelling of 10121001211220 in words is "ten trillion, one hundred twenty-one billion, one million, two hundred eleven thousand, two hundred twenty".