10002111020001 has 6 divisors (see below), whose sum is σ = 14447493695570. Its totient is φ = 6668074013328.

The previous prime is 10002111019951. The next prime is 10002111020003. The reversal of 10002111020001 is 10002011120001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8982009000000 + 1020102020001 = 2997000^2 + 1010001^2 .

It is not a de Polignac number, because 10002111020001 - 2¹⁸ = 10002110757857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 1111345668889 = 10002111020001 / (1 + 0 + 0 + 0 + 2 + 1 + 1 + 1 + 0 + 2 + 0 + 0 + 0 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10002111020003) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 555672834436 + ... + 555672834453.

Almost surely, 2^{10002111020001} is an apocalyptic number.

It is an amenable number.

10002111020001 is a deficient number, since it is larger than the sum of its proper divisors (4445382675569).

10002111020001 is a wasteful number, since it uses less digits than its factorization.

10002111020001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111345668895 (or 1111345668892 counting only the distinct ones).

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

Adding to 10002111020001 its reverse (10002011120001), we get a palindrome (20004122140002).

The spelling of 10002111020001 in words is "ten trillion, two billion, one hundred eleven million, twenty thousand, one".