102102012202001 has 16 divisors (see below), whose sum is σ = 118460321814528. Its totient is φ = 86195852808000.

The previous prime is 102102012201979. The next prime is 102102012202013. The reversal of 102102012202001 is 100202210201201.

It is a cyclic number.

It is not a de Polignac number, because 102102012202001 - 2⁴² = 97703965690897 is a prime.

It is a super-2 number, since 2×102102012202001² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102102012202061) 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, 377916950 + ... + 378187023.

It is an arithmetic number, because the mean of its divisors is an integer number (7403770113408).

Almost surely, 2^{102102012202001} is an apocalyptic number.

It is an amenable number.

102102012202001 is a deficient number, since it is larger than the sum of its proper divisors (16358309612527).

102102012202001 is a wasteful number, since it uses less digits than its factorization.

102102012202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 756104272.

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 102102012202001 its reverse (100202210201201), we get a palindrome (202304222403202).

The spelling of 102102012202001 in words is "one hundred two trillion, one hundred two billion, twelve million, two hundred two thousand, one".