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202122112112201 = 2961188596058531
BaseRepresentation
bin101101111101010000111000…
…101100011001011001001001
3222111122200111111221221021202
4231331100320230121121021
5202443032041200042301
61553513341052513545
760400561234536521
oct5575207054313111
9874580444857252
10202122112112201
1159447562a7a426
121a80475247b8b5
1388a2058479538
1437caa9613a681
1518579d767d66b
hexb7d438b19649

202122112112201 has 16 divisors (see below), whose sum is σ = 212530879147200. Its totient is φ = 191942954683200.

The previous prime is 202122112112153. The next prime is 202122112112203. The reversal of 202122112112201 is 102211211221202.

202122112112201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 202122112112201 - 238 = 201847234205257 is a prime.

It is a super-2 number, since 2×2021221121122012 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202122112112203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30332306 + ... + 36390836.

It is an arithmetic number, because the mean of its divisors is an integer number (13283179946700).

Almost surely, 2202122112112201 is an apocalyptic number.

It is an amenable number.

202122112112201 is a deficient number, since it is larger than the sum of its proper divisors (10408767034999).

202122112112201 is a wasteful number, since it uses less digits than its factorization.

202122112112201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6077480.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 202122112112201 its reverse (102211211221202), we get a palindrome (304333323333403).

The spelling of 202122112112201 in words is "two hundred two trillion, one hundred twenty-two billion, one hundred twelve million, one hundred twelve thousand, two hundred one".

Divisors: 1 29 61 1769 18859 546911 1150399 6058531 33361571 175697399 369570391 10717541339 114257836129 3313477247741 6969728003869 202122112112201