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10201211020000 = 255473111310399
BaseRepresentation
bin1001010001110010011110…
…0011110010001011100000
31100010020002221021010110101
42110130213203302023200
52314114040010120000
633410212135312144
72102004342655000
oct224344743621340
940106087233411
1010201211020000
1132833447484a0
121189090b1b654
1358cc7c329a80
14273a53dac000
1512a55487ce6a
hex947278f22e0

10201211020000 has 960 divisors, whose sum is σ = 34386992640000. Its totient is φ = 2934731520000.

The previous prime is 10201211019917. The next prime is 10201211020073. The reversal of 10201211020000 is 2011210201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 980974801 + ... + 980985199.

It is an arithmetic number, because the mean of its divisors is an integer number (35819784000).

Almost surely, 210201211020000 is an apocalyptic number.

10201211020000 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 10201211020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17193496320000).

10201211020000 is an abundant number, since it is smaller than the sum of its proper divisors (24185781620000).

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

10201211020000 is a wasteful number, since it uses less digits than its factorization.

10201211020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10474 (or 10437 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10201211020000 its reverse (2011210201), we get a palindrome (10203222230201).

The spelling of 10201211020000 in words is "ten trillion, two hundred one billion, two hundred eleven million, twenty thousand".