102211210101001 has 4 divisors (see below), whose sum is σ = 102400140249604. Its totient is φ = 102022279952400.

The previous prime is 102211210100941. The next prime is 102211210101043. The reversal of 102211210101001 is 100101012112201.

It is a happy number.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 26809861374976 + 75401348726025 = 5177824^2 + 8683395^2 .

It is a cyclic number.

It is not a de Polignac number, because 102211210101001 - 2¹¹ = 102211210098953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102211210101601) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 94465073490 + ... + 94465074571.

It is an arithmetic number, because the mean of its divisors is an integer number (25600035062401).

Almost surely, 2^{102211210101001} is an apocalyptic number.

It is an amenable number.

102211210101001 is a deficient number, since it is larger than the sum of its proper divisors (188930148603).

102211210101001 is an equidigital number, since it uses as much as digits as its factorization.

102211210101001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188930148602.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 102211210101001 its reverse (100101012112201), we get a palindrome (202312222213202).

The spelling of 102211210101001 in words is "one hundred two trillion, two hundred eleven billion, two hundred ten million, one hundred one thousand, one".