122000021000001 has 24 divisors (see below), whose sum is σ = 178203269560680. Its totient is φ = 80419041964800.

The previous prime is 122000020999991. The next prime is 122000021000029. The reversal of 122000021000001 is 100000120000221.

It can be written as a sum of positive squares in 4 ways, for example, as 580337716401 + 121419683283600 = 761799^2 + 11019060^2 .

It is not a de Polignac number, because 122000021000001 - 2⁶ = 122000020999937 is a prime.

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 (122000021000041) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206828871 + ... + 207417891.

It is an arithmetic number, because the mean of its divisors is an integer number (7425136231695).

Almost surely, 2^{122000021000001} is an apocalyptic number.

It is an amenable number.

122000021000001 is a deficient number, since it is larger than the sum of its proper divisors (56203248560679).

122000021000001 is a wasteful number, since it uses less digits than its factorization.

122000021000001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 847697 (or 847694 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 122000021000001 its reverse (100000120000221), we get a palindrome (222000141000222).

The spelling of 122000021000001 in words is "one hundred twenty-two trillion, twenty-one million, one", and thus it is an aban number.