10121020001001 has 48 divisors (see below), whose sum is σ = 17993391386880. Its totient is φ = 5338421458560.

The previous prime is 10121020000963. The next prime is 10121020001003. The reversal of 10121020001001 is 10010002012101.

It is a happy number.

It is a de Polignac number, because none of the positive numbers 2^k-10121020001001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (10121020001003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36544236 + ... + 36820146.

It is an arithmetic number, because the mean of its divisors is an integer number (374862320560).

Almost surely, 2^{10121020001001} is an apocalyptic number.

It is an amenable number.

10121020001001 is a deficient number, since it is larger than the sum of its proper divisors (7872371385879).

10121020001001 is a wasteful number, since it uses less digits than its factorization.

10121020001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320726 (or 320723 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10121020001001 its reverse (10010002012101), we get a palindrome (20131022013102).

The spelling of 10121020001001 in words is "ten trillion, one hundred twenty-one billion, twenty million, one thousand, one".