102201121001001 has 16 divisors (see below), whose sum is σ = 153451536519168. Its totient is φ = 59942006451600.

The previous prime is 102201121000961. The next prime is 102201121001009. The reversal of 102201121001001 is 100100121102201.

It is not a de Polignac number, because 102201121001001 - 2³⁸ = 101926243094057 is a prime.

It is a super-2 number, since 2×102201121001001² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102201121001009) 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, 49951671021 + ... + 49951673066.

It is an arithmetic number, because the mean of its divisors is an integer number (9590721032448).

Almost surely, 2^{102201121001001} is an apocalyptic number.

102201121001001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102201121001001 is a deficient number, since it is larger than the sum of its proper divisors (51250415518167).

102201121001001 is a wasteful number, since it uses less digits than its factorization.

102201121001001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99903344132.

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

Adding to 102201121001001 its reverse (100100121102201), we get a palindrome (202301242103202).

The spelling of 102201121001001 in words is "one hundred two trillion, two hundred one billion, one hundred twenty-one million, one thousand, one".