102122210202001 has 12 divisors (see below), whose sum is σ = 112359974103412. Its totient is φ = 92747443932000.

The previous prime is 102122210201941. The next prime is 102122210202041. The reversal of 102122210202001 is 100202012221201.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 64601084750400 + 37521125451601 = 8037480^2 + 6125449^2 .

It is not a de Polignac number, because 102122210202001 - 2¹⁷ = 102122210070929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102122210202041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 413189490 + ... + 413436571.

Almost surely, 2^{102122210202001} is an apocalyptic number.

102122210202001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102122210202001 is a deficient number, since it is larger than the sum of its proper divisors (10237763901411).

102122210202001 is a wasteful number, since it uses less digits than its factorization.

102122210202001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826627104 (or 826627093 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 102122210202001 its reverse (100202012221201), we get a palindrome (202324222423202).

The spelling of 102122210202001 in words is "one hundred two trillion, one hundred twenty-two billion, two hundred ten million, two hundred two thousand, one".