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10021211101200 = 24352136173144259
BaseRepresentation
bin1001000111010011111010…
…1110100101100000010000
31022111000111102122211121010
42101310332232211200100
52303141420020214300
633151403020330520
72053002644623425
oct221647656454020
938430442584533
1010021211101200
113213a76461322
12115a2173a3a40
13578cc4713490
1426905a1d3d4c
15125a1c18da50
hex91d3eba5810

10021211101200 has 480 divisors, whose sum is σ = 35618920382080. Its totient is φ = 2393067110400.

The previous prime is 10021211101189. The next prime is 10021211101211. The reversal of 10021211101200 is 210111212001.

It is an interprime number because it is at equal distance from previous prime (10021211101189) and next prime (10021211101211).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 69394671 + ... + 69538929.

Almost surely, 210021211101200 is an apocalyptic number.

10021211101200 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 10021211101200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17809460191040).

10021211101200 is an abundant number, since it is smaller than the sum of its proper divisors (25597709280880).

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

10021211101200 is a wasteful number, since it uses less digits than its factorization.

10021211101200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144427 (or 144416 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10021211101200 its reverse (210111212001), we get a palindrome (10231322313201).

The spelling of 10021211101200 in words is "ten trillion, twenty-one billion, two hundred eleven million, one hundred one thousand, two hundred".