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101022102102222 = 23277197569204599
BaseRepresentation
bin10110111110000100001010…
…100000101010000011001110
3111020200121200222202002011100
4112332010022200222003032
5101220121231114232342
6554504525114003530
730164414602516140
oct2676041240520316
9436617628662140
10101022102102222
112a209261aa5654
12b3b69157165a6
13444a460462082
141ad36d27b6c90
15ba2c3b5d1e4c
hex5be10a82a0ce

101022102102222 has 192 divisors, whose sum is σ = 256740067584000. Its totient is φ = 28113925754880.

The previous prime is 101022102102149. The next prime is 101022102102223. The reversal of 101022102102222 is 222201201220101.

It is a happy number.

101022102102222 is a `hidden beast` number, since 1 + 0 + 10 + 221 + 0 + 210 + 2 + 222 = 666.

It is a super-2 number, since 2×1010221021022222 (a number of 29 digits) contains 22 as substring.

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 = 101022102102195 and 101022102102204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101022102102223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 493654279 + ... + 493858877.

It is an arithmetic number, because the mean of its divisors is an integer number (1337187852000).

Almost surely, 2101022102102222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101022102102222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128370033792000).

101022102102222 is an abundant number, since it is smaller than the sum of its proper divisors (155717965481778).

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

101022102102222 is a wasteful number, since it uses less digits than its factorization.

101022102102222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205351 (or 205348 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 101022102102222 its reverse (222201201220101), we get a palindrome (323223303322323).

The spelling of 101022102102222 in words is "one hundred one trillion, twenty-two billion, one hundred two million, one hundred two thousand, two hundred twenty-two".