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2101221211122 = 2321110612228339
BaseRepresentation
bin11110100100111010100…
…010110011101111110010
321102212121201102010221100
4132210322202303233302
5233411300112223442
64245142050505230
7304544135413605
oct36447242635762
97385551363840
102101221211122
1174013965a980
1229b292895216
131231b5083a37
14739b1ba233c
15399ce54284c
hex1e93a8b3bf2

2101221211122 has 24 divisors (see below), whose sum is σ = 4966522863120. Its totient is φ = 636733700280.

The previous prime is 2101221211097. The next prime is 2101221211129. The reversal of 2101221211122 is 2211121221012.

2101221211122 is a `hidden beast` number, since 210 + 1 + 221 + 211 + 1 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2101221211095 and 2101221211104.

It is not an unprimeable number, because it can be changed into a prime (2101221211129) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5306113972 + ... + 5306114367.

It is an arithmetic number, because the mean of its divisors is an integer number (206938452630).

Almost surely, 22101221211122 is an apocalyptic number.

2101221211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2101221211122 is an abundant number, since it is smaller than the sum of its proper divisors (2865301651998).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2101221211122 is a wasteful number, since it uses less digits than its factorization.

2101221211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10612228358 (or 10612228355 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 2101221211122 its reverse (2211121221012), we get a palindrome (4312342432134).

The spelling of 2101221211122 in words is "two trillion, one hundred one billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 10612228339 21224456678 31836685017 63673370034 95510055051 116734511729 191020110102 233469023458 350203535187 700407070374 1050610605561 2101221211122