21122102200101 has 32 divisors (see below), whose sum is σ = 33880644695040. Its totient is φ = 11434325399424.

The previous prime is 21122102200093. The next prime is 21122102200127. The reversal of 21122102200101 is 10100220122112.

It is not a de Polignac number, because 21122102200101 - 2³ = 21122102200093 is a prime.

It is a super-2 number, since 2×21122102200101² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21122102200301) 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, 24567966 + ... + 25413168.

It is an arithmetic number, because the mean of its divisors is an integer number (1058770146720).

Almost surely, 2^{21122102200101} is an apocalyptic number.

21122102200101 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21122102200101 is a deficient number, since it is larger than the sum of its proper divisors (12758542494939).

21122102200101 is a wasteful number, since it uses less digits than its factorization.

21122102200101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907865.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21122102200101 its reverse (10100220122112), we get a palindrome (31222322322213).

The spelling of 21122102200101 in words is "twenty-one trillion, one hundred twenty-two billion, one hundred two million, two hundred thousand, one hundred one".