100121122101 has 128 divisors (see below), whose sum is σ = 184472064000. Its totient is φ = 46613698560.

The previous prime is 100121122091. The next prime is 100121122103. The reversal of 100121122101 is 101221121001.

It is not a de Polignac number, because 100121122101 - 2¹⁷ = 100120991029 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121122103) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 95443825 + ... + 95444873.

It is an arithmetic number, because the mean of its divisors is an integer number (1441188000).

Almost surely, 2^100121122101 is an apocalyptic number.

100121122101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100121122101 is a deficient number, since it is larger than the sum of its proper divisors (84350941899).

100121122101 is a wasteful number, since it uses less digits than its factorization.

100121122101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1979.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 100121122101 its reverse (101221121001), we get a palindrome (201342243102).

It can be divided in two parts, 100121 and 122101, that added together give a palindrome (222222).

The spelling of 100121122101 in words is "one hundred billion, one hundred twenty-one million, one hundred twenty-two thousand, one hundred one".