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1010212012200 = 2335223477121937
BaseRepresentation
bin11101011001101010101…
…01000000000010101000
310120120112102010101200010
432230311111000002220
5113022403233342300
62052030205211520
7132661665265236
oct16546525000250
93516472111603
101010212012200
1135a4793878a6
12143951b60ba0
1374354b87a01
1436c747d7956
151b428052a50
hexeb355400a8

1010212012200 has 384 divisors, whose sum is σ = 3384503377920. Its totient is φ = 248631398400.

The previous prime is 1010212012193. The next prime is 1010212012207. The reversal of 1010212012200 is 22102120101.

It is an interprime number because it is at equal distance from previous prime (1010212012193) and next prime (1010212012207).

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

It is not an unprimeable number, because it can be changed into a prime (1010212012207) 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, 46039632 + ... + 46061568.

It is an arithmetic number, because the mean of its divisors is an integer number (8813810880).

Almost surely, 21010212012200 is an apocalyptic number.

1010212012200 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 1010212012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692251688960).

1010212012200 is an abundant number, since it is smaller than the sum of its proper divisors (2374291365720).

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

1010212012200 is a wasteful number, since it uses less digits than its factorization.

1010212012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22097 (or 22088 counting only the distinct ones).

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

Adding to 1010212012200 its reverse (22102120101), we get a palindrome (1032314132301).

The spelling of 1010212012200 in words is "one trillion, ten billion, two hundred twelve million, twelve thousand, two hundred".