102111221201001 has 16 divisors (see below), whose sum is σ = 142069457018880. Its totient is φ = 65113636050320.

The previous prime is 102111221200999. The next prime is 102111221201021. The reversal of 102111221201001 is 100102122111201.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 102111221201001 - 2¹ = 102111221200999 is a prime.

It is a super-2 number, since 2×102111221201001² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102111221201021) 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, 2765115 + ... + 14555696.

It is an arithmetic number, because the mean of its divisors is an integer number (8879341063680).

Almost surely, 2^{102111221201001} is an apocalyptic number.

It is an amenable number.

102111221201001 is a deficient number, since it is larger than the sum of its proper divisors (39958235817879).

102111221201001 is a wasteful number, since it uses less digits than its factorization.

102111221201001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17406276.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 102111221201001 its reverse (100102122111201), we get a palindrome (202213343312202).

The spelling of 102111221201001 in words is "one hundred two trillion, one hundred eleven billion, two hundred twenty-one million, two hundred one thousand, one".