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10121100022001 is a prime number
BaseRepresentation
bin1001001101001000000010…
…0100100101000011110001
31022211120022212021202211102
42103102000210211003301
52311311003101201001
633305322534454145
72063140202504033
oct223220044450361
938746285252742
1010121100022001
113252375118a31
121175653b04355
13585553200587
1426dc145bbc53
15128416785e6b
hex934809250f1

10121100022001 has 2 divisors, whose sum is σ = 10121100022002. Its totient is φ = 10121100022000.

The previous prime is 10121100021887. The next prime is 10121100022003. The reversal of 10121100022001 is 10022000112101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9943080160225 + 178019861776 = 3153265^2 + 421924^2 .

It is an emirp because it is prime and its reverse (10022000112101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10121100022001 - 226 = 10121032913137 is a prime.

Together with 10121100022003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10121100022003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5060550011000 + 5060550011001.

It is an arithmetic number, because the mean of its divisors is an integer number (5060550011001).

Almost surely, 210121100022001 is an apocalyptic number.

It is an amenable number.

10121100022001 is a deficient number, since it is larger than the sum of its proper divisors (1).

10121100022001 is an equidigital number, since it uses as much as digits as its factorization.

10121100022001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 10121100022001 its reverse (10022000112101), we get a palindrome (20143100134102).

The spelling of 10121100022001 in words is "ten trillion, one hundred twenty-one billion, one hundred million, twenty-two thousand, one".