20101221020122 has 128 divisors (see below), whose sum is σ = 34776555552000. Its totient is φ = 8629174149120.

The previous prime is 20101221020071. The next prime is 20101221020123. The reversal of 20101221020122 is 22102012210102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 20101221020096 and 20101221020105.

It is not an unprimeable number, because it can be changed into a prime (20101221020123) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7035777718 + ... + 7035780574.

It is an arithmetic number, because the mean of its divisors is an integer number (271691840250).

Almost surely, 2^{20101221020122} is an apocalyptic number.

20101221020122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20101221020122 is a deficient number, since it is larger than the sum of its proper divisors (14675334531878).

20101221020122 is a wasteful number, since it uses less digits than its factorization.

20101221020122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3824.

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 20101221020122 its reverse (22102012210102), we get a palindrome (42203233230224).

The spelling of 20101221020122 in words is "twenty trillion, one hundred one billion, two hundred twenty-one million, twenty thousand, one hundred twenty-two".