2101010301000 has 192 divisors, whose sum is σ = 7647677921520. Its totient is φ = 517171737600.

The previous prime is 2101010300951. The next prime is 2101010301023. The reversal of 2101010301000 is 1030101012.

It can be written as a sum of positive squares in 8 ways, for example, as 261086253156 + 1839924047844 = 510966^2 + 1356438^2 .

It is a super-2 number, since 2×2101010301000² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8861677 + ... + 9095676.

Almost surely, 2^{2101010301000} is an apocalyptic number.

2101010301000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2101010301000 is an abundant number, since it is smaller than the sum of its proper divisors (5546667620520).

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

2101010301000 is a wasteful number, since it uses less digits than its factorization.

2101010301000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17957393 (or 17957376 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 2101010301000 its reverse (1030101012), we get a palindrome (2102040402012).

The spelling of 2101010301000 in words is "two trillion, one hundred one billion, ten million, three hundred one thousand".