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101021020120200 = 233521953891878629
BaseRepresentation
bin10110111110000011001010…
…000001001110010010001000
3111020200111220120210200212010
4112332003022001032102020
5101220112022122321300
6554504225503215520
730164346024025455
oct2676031201162210
9436614816720763
10101021020120200
112a208857277534
12b3b66732a75a0
13444a31a24c61b
141ad362cc0882c
15ba2bc6609a50
hex5be0ca04e488

101021020120200 has 384 divisors, whose sum is σ = 339641274960000. Its totient is φ = 24758212976640.

The previous prime is 101021020120187. The next prime is 101021020120247. The reversal of 101021020120200 is 2021020120101.

It is a super-2 number, since 2×1010210201202002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 52834486 + ... + 54713114.

It is an arithmetic number, because the mean of its divisors is an integer number (884482486875).

Almost surely, 2101021020120200 is an apocalyptic number.

101021020120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101021020120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169820637480000).

101021020120200 is an abundant number, since it is smaller than the sum of its proper divisors (238620254839800).

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

101021020120200 is a wasteful number, since it uses less digits than its factorization.

101021020120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878809 (or 1878800 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101021020120200 its reverse (2021020120101), we get a palindrome (103042040240301).

Subtracting from 101021020120200 its reverse (2021020120101), we obtain a palindrome (99000000000099).

The spelling of 101021020120200 in words is "one hundred one trillion, twenty-one billion, twenty million, one hundred twenty thousand, two hundred".