101002021121201 has 8 divisors (see below), whose sum is σ = 102037995613224. Its totient is φ = 99966751619200.

The previous prime is 101002021121153. The next prime is 101002021121269. The reversal of 101002021121201 is 102121120200101.

It can be written as a sum of positive squares in 4 ways, for example, as 1547973918976 + 99454047202225 = 1244176^2 + 9972665^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 101002021121201 - 2³⁰ = 101000947379377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (101002021127201) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 175959500 + ... + 176532573.

It is an arithmetic number, because the mean of its divisors is an integer number (12754749451653).

Almost surely, 2^{101002021121201} is an apocalyptic number.

It is an amenable number.

101002021121201 is a deficient number, since it is larger than the sum of its proper divisors (1035974492023).

101002021121201 is a wasteful number, since it uses less digits than its factorization.

101002021121201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352495011.

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101002021121201 its reverse (102121120200101), we get a palindrome (203123141321302).

The spelling of 101002021121201 in words is "one hundred one trillion, two billion, twenty-one million, one hundred twenty-one thousand, two hundred one".