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101021200200000 = 2632551312571667
BaseRepresentation
bin10110111110000011010100…
…110000001011000101000000
3111020200112101010122200220100
4112332003110300023011000
5101220112404222400000
6554504255415042400
730164353341465453
oct2676032460130500
9436615333580810
10101021200200000
112a208939994113
12b3b6703670400
13444a348650912
141ad3648ac349a
15ba2bd732ba00
hex5be0d4c0b140

101021200200000 has 1008 divisors, whose sum is σ = 366327055942848. Its totient is φ = 26613350400000.

The previous prime is 101021200199993. The next prime is 101021200200007. The reversal of 101021200200000 is 2002120101.

It is an interprime number because it is at equal distance from previous prime (101021200199993) and next prime (101021200200007).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101021200200007) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 60600599167 + ... + 60600600833.

It is an arithmetic number, because the mean of its divisors is an integer number (363419698356).

Almost surely, 2101021200200000 is an apocalyptic number.

101021200200000 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 101021200200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183163527971424).

101021200200000 is an abundant number, since it is smaller than the sum of its proper divisors (265305855742848).

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

101021200200000 is a wasteful number, since it uses less digits than its factorization.

101021200200000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2098 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 101021200200000 its reverse (2002120101), we get a palindrome (101023202320101).

The spelling of 101021200200000 in words is "one hundred one trillion, twenty-one billion, two hundred million, two hundred thousand".