100210101011001 has 6 divisors (see below), whose sum is σ = 144747923682570. Its totient is φ = 66806734007328.

The previous prime is 100210101010979. The next prime is 100210101011023. The reversal of 100210101011001 is 100110101012001.

It is an interprime number because it is at equal distance from previous prime (100210101010979) and next prime (100210101011023).

It can be written as a sum of positive squares in only one way, i.e., 92489766465600 + 7720334545401 = 9617160^2 + 2778549^2 .

It is not a de Polignac number, because 100210101011001 - 2²¹ = 100210098913849 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: 11134455667889 = 100210101011001 / (1 + 0 + 0 + 2 + 1 + 0 + 1 + 0 + 1 + 0 + 1 + 1 + 0 + 0 + 1).

It is not an unprimeable number, because it can be changed into a prime (100210101011201) 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, 5567227833936 + ... + 5567227833953.

It is an arithmetic number, because the mean of its divisors is an integer number (24124653947095).

Almost surely, 2^{100210101011001} is an apocalyptic number.

It is an amenable number.

100210101011001 is a deficient number, since it is larger than the sum of its proper divisors (44537822671569).

100210101011001 is a wasteful number, since it uses less digits than its factorization.

100210101011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11134455667895 (or 11134455667892 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100210101011001 its reverse (100110101012001), we get a palindrome (200320202023002).

The spelling of 100210101011001 in words is "one hundred trillion, two hundred ten billion, one hundred one million, eleven thousand, one".