10100012010121 has 16 divisors (see below), whose sum is σ = 11105400176640. Its totient is φ = 9109163886480.

The previous prime is 10100012010113. The next prime is 10100012010239. The reversal of 10100012010121 is 12101021000101.

It is a cyclic number.

It is not a de Polignac number, because 10100012010121 - 2³ = 10100012010113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10100012010098 and 10100012010107.

It is not an unprimeable number, because it can be changed into a prime (10100012310121) 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, 38099610 + ... + 38363788.

It is an arithmetic number, because the mean of its divisors is an integer number (694087511040).

Almost surely, 2^{10100012010121} is an apocalyptic number.

10100012010121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10100012010121 is a deficient number, since it is larger than the sum of its proper divisors (1005388166519).

10100012010121 is a wasteful number, since it uses less digits than its factorization.

10100012010121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291684.

The product of its (nonzero) digits is 4, while the sum is 10.

Adding to 10100012010121 its reverse (12101021000101), we get a palindrome (22201033010222).

It can be divided in two parts, 101000 and 12010121, that added together give a palindrome (12111121).

The spelling of 10100012010121 in words is "ten trillion, one hundred billion, twelve million, ten thousand, one hundred twenty-one".