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122101000001201 = 13234137307266977
BaseRepresentation
bin11011110000110011011010…
…101110110101011010110001
3121000022202000121221112220202
4123300303122232311122301
5112001000322000014301
61111404231450244545
734501335414425144
oct3360633256653261
9530282017845822
10122101000001201
11359a581a374871
121183bba9a26755
1353190c870b360
142221a116cc05b
15e1b1d954e66b
hex6f0cdabb56b1

122101000001201 has 32 divisors (see below), whose sum is σ = 140561379641088. Its totient is φ = 105175558287360.

The previous prime is 122101000001173. The next prime is 122101000001203. The reversal of 122101000001201 is 102100000101221.

It is not a de Polignac number, because 122101000001201 - 26 = 122101000001137 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (122101000001203) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 457213025 + ... + 457480001.

It is an arithmetic number, because the mean of its divisors is an integer number (4392543113784).

Almost surely, 2122101000001201 is an apocalyptic number.

It is an amenable number.

122101000001201 is a deficient number, since it is larger than the sum of its proper divisors (18460379639887).

122101000001201 is a wasteful number, since it uses less digits than its factorization.

122101000001201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304361.

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

Adding to 122101000001201 its reverse (102100000101221), we get a palindrome (224201000102422).

The spelling of 122101000001201 in words is "one hundred twenty-two trillion, one hundred one billion, one thousand, two hundred one".

Divisors: 1 13 23 41 299 533 943 12259 37307 266977 484991 858061 1529587 3470701 6140471 10946057 11154793 19884631 35180501 79826123 142298741 251759311 457346513 3272871043 9960110939 129481442207 229082551597 408364548499 2978073170761 5308739130487 9392384615477 122101000001201