101110120021001 has 32 divisors (see below), whose sum is σ = 131190661152768. Its totient is φ = 75771391705920.

The previous prime is 101110120020983. The next prime is 101110120021007. The reversal of 101110120021001 is 100120021011101.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101110120021001 is a prime.

It is a super-2 number, since 2×101110120021001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (101110120021007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 381164675 + ... + 381429848.

It is an arithmetic number, because the mean of its divisors is an integer number (4099708161024).

Almost surely, 2^{101110120021001} is an apocalyptic number.

It is an amenable number.

101110120021001 is a deficient number, since it is larger than the sum of its proper divisors (30080541131767).

101110120021001 is a wasteful number, since it uses less digits than its factorization.

101110120021001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 762594621.

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 101110120021001 its reverse (100120021011101), we get a palindrome (201230141032102).

The spelling of 101110120021001 in words is "one hundred one trillion, one hundred ten billion, one hundred twenty million, twenty-one thousand, one".