10102012211021 has 16 divisors (see below), whose sum is σ = 10704138666480. Its totient is φ = 9500764815360.

The previous prime is 10102012210957. The next prime is 10102012211023. The reversal of 10102012211021 is 12011221020101.

10102012211021 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 8 ways, for example, as 139940335396 + 9962071875625 = 374086^2 + 3156275^2 .

It is a cyclic number.

It is not a de Polignac number, because 10102012211021 - 2⁶ = 10102012210957 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10102012210987 and 10102012211005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102012211023) 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, 151146791 + ... + 151213611.

It is an arithmetic number, because the mean of its divisors is an integer number (669008666655).

Almost surely, 2^{10102012211021} is an apocalyptic number.

It is an amenable number.

10102012211021 is a deficient number, since it is larger than the sum of its proper divisors (602126455459).

10102012211021 is a wasteful number, since it uses less digits than its factorization.

10102012211021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73264.

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

Adding to 10102012211021 its reverse (12011221020101), we get a palindrome (22113233231122).

The spelling of 10102012211021 in words is "ten trillion, one hundred two billion, twelve million, two hundred eleven thousand, twenty-one".