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101122101122010 = 235172223405112911
BaseRepresentation
bin10110111111100001010010…
…111010101001001111011010
3111021001011211002112121210220
4112333201102322221033122
5101223241030341401020
6555022504004020510
730204554635252653
oct2677412272511732
9437034732477726
10101122101122010
112a247707921261
12b412183091736
134456a089ba5b7
141ad849b66052a
15ba56406c6240
hex5bf852ea93da

101122101122010 has 192 divisors, whose sum is σ = 259048954773504. Its totient is φ = 25257661056000.

The previous prime is 101122101121973. The next prime is 101122101122041. The reversal of 101122101122010 is 10221101221101.

It is a happy number.

It is a super-2 number, since 2×1011221011220102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7832237455 + ... + 7832250365.

It is an arithmetic number, because the mean of its divisors is an integer number (1349213306112).

Almost surely, 2101122101122010 is an apocalyptic number.

101122101122010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101122101122010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129524477386752).

101122101122010 is an abundant number, since it is smaller than the sum of its proper divisors (157926853651494).

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

101122101122010 is a wasteful number, since it uses less digits than its factorization.

101122101122010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17229 (or 17212 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 101122101122010 its reverse (10221101221101), we get a palindrome (111343202343111).

Subtracting from 101122101122010 its reverse (10221101221101), we obtain a palindrome (90900999900909).

The spelling of 101122101122010 in words is "one hundred one trillion, one hundred twenty-two billion, one hundred one million, one hundred twenty-two thousand, ten".