100210020011001 has 12 divisors (see below), whose sum is σ = 144775820646912. Its totient is φ = 66793750485336.

The previous prime is 100210020010967. The next prime is 100210020011039. The reversal of 100210020011001 is 100110020012001.

It is a happy number.

It is not a de Polignac number, because 100210020011001 - 2¹³ = 100210020002809 is a prime.

It is a super-2 number, since 2×100210020011001² (a number of 29 digits) contains 22 as substring.

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 (100210020061001) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1077411081 + ... + 1077504086.

It is an arithmetic number, because the mean of its divisors is an integer number (12064651720576).

Almost surely, 2^{100210020011001} is an apocalyptic number.

It is an amenable number.

100210020011001 is a deficient number, since it is larger than the sum of its proper divisors (44565800635911).

100210020011001 is a wasteful number, since it uses less digits than its factorization.

100210020011001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2154920340 (or 2154920337 counting only the distinct ones).

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

Adding to 100210020011001 its reverse (100110020012001), we get a palindrome (200320040023002).

The spelling of 100210020011001 in words is "one hundred trillion, two hundred ten billion, twenty million, eleven thousand, one".