101211020112401 has 2 divisors, whose sum is σ = 101211020112402. Its totient is φ = 101211020112400.

The previous prime is 101211020112373. The next prime is 101211020112473. The reversal of 101211020112401 is 104211020112101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 53279269540225 + 47931750572176 = 7299265^2 + 6923276^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101211020112401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101211020112401.

It is not a weakly prime, because it can be changed into another prime (101211020114401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50605510056200 + 50605510056201.

It is an arithmetic number, because the mean of its divisors is an integer number (50605510056201).

Almost surely, 2^{101211020112401} is an apocalyptic number.

It is an amenable number.

101211020112401 is a deficient number, since it is larger than the sum of its proper divisors (1).

101211020112401 is an equidigital number, since it uses as much as digits as its factorization.

101211020112401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101211020112401 its reverse (104211020112101), we get a palindrome (205422040224502).

The spelling of 101211020112401 in words is "one hundred one trillion, two hundred eleven billion, twenty million, one hundred twelve thousand, four hundred one".