10120022121101 has 16 divisors (see below), whose sum is σ = 10618039277568. Its totient is φ = 9626865705600.

The previous prime is 10120022121043. The next prime is 10120022121107. The reversal of 10120022121101 is 10112122002101.

It is a cyclic number.

It is not a de Polignac number, because 10120022121101 - 2¹⁰ = 10120022120077 is a prime.

It is a super-3 number, since 3×10120022121101³ (a number of 40 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120022121107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16913321 + ... + 17501441.

It is an arithmetic number, because the mean of its divisors is an integer number (663627454848).

Almost surely, 2^{10120022121101} is an apocalyptic number.

It is an amenable number.

10120022121101 is a deficient number, since it is larger than the sum of its proper divisors (498017156467).

10120022121101 is a wasteful number, since it uses less digits than its factorization.

10120022121101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592252.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 10120022121101 its reverse (10112122002101), we get a palindrome (20232144123202).

The spelling of 10120022121101 in words is "ten trillion, one hundred twenty billion, twenty-two million, one hundred twenty-one thousand, one hundred one".