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210102101000 = 23531121919091
BaseRepresentation
bin1100001110101100001…
…1111010010000001000
3202002022101011120212022
43003223003322100020
511420242114213000
6240304121104012
721115345251341
oct3035303722010
9662271146768
10210102101000
1181116182200
1234876928008
1316a7420752c
14a251a210c8
1556ea29e585
hex30eb0fa408

210102101000 has 192 divisors, whose sum is σ = 543285550080. Its totient is φ = 75992400000.

The previous prime is 210102100997. The next prime is 210102101003. The reversal of 210102101000 is 101201012.

It is an interprime number because it is at equal distance from previous prime (210102100997) and next prime (210102101003).

It is a super-2 number, since 2×2101021010002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is not an unprimeable number, because it can be changed into a prime (210102101003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23106455 + ... + 23115545.

It is an arithmetic number, because the mean of its divisors is an integer number (2829612240).

Almost surely, 2210102101000 is an apocalyptic number.

210102101000 is a gapful number since it is divisible by the number (20) 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 210102101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271642775040).

210102101000 is an abundant number, since it is smaller than the sum of its proper divisors (333183449080).

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

210102101000 is a wasteful number, since it uses less digits than its factorization.

210102101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9325 (or 9300 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 210102101000 its reverse (101201012), we get a palindrome (210203302012).

It can be divided in two parts, 21010 and 2101000, that multiplied together give a square (44142010000 = 2101002).

The spelling of 210102101000 in words is "two hundred ten billion, one hundred two million, one hundred one thousand".