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101112121210122 = 2321137157178949139
BaseRepresentation
bin10110111111011000000000…
…000100010011010100001010
3111021000020001120120120101200
4112333120000010103110022
5101223110111012210442
6555014133415525030
730204052423354641
oct2677300004232412
9437006046516350
10101112121210122
112a2434564877a0
12b410258989776
134455aa82146a9
141ad7bd204a358
15ba525948534c
hex5bf60011350a

101112121210122 has 192 divisors, whose sum is σ = 247158027043200. Its totient is φ = 29604882378240.

The previous prime is 101112121210109. The next prime is 101112121210141. The reversal of 101112121210122 is 221012121211101.

It is a happy number.

101112121210122 is a `hidden beast` number, since 10 + 111 + 212 + 1 + 210 + 122 = 666.

It is a super-2 number, since 2×1011121212101222 (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 = 101112121210095 and 101112121210104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2057651029 + ... + 2057700167.

It is an arithmetic number, because the mean of its divisors is an integer number (1287281390850).

Almost surely, 2101112121210122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101112121210122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123579013521600).

101112121210122 is an abundant number, since it is smaller than the sum of its proper divisors (146045905833078).

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

101112121210122 is a wasteful number, since it uses less digits than its factorization.

101112121210122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51141 (or 51138 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 18.

Adding to 101112121210122 its reverse (221012121211101), we get a palindrome (322124242421223).

The spelling of 101112121210122 in words is "one hundred one trillion, one hundred twelve billion, one hundred twenty-one million, two hundred ten thousand, one hundred twenty-two".