1010121001000 has 64 divisors (see below), whose sum is σ = 2369068416000. Its totient is φ = 403127841600.

The previous prime is 1010121000961. The next prime is 1010121001027. The reversal of 1010121001000 is 1001210101.

It is a super-2 number, since 2×1010121001000² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711480 + ... + 1589479.

It is an arithmetic number, because the mean of its divisors is an integer number (37016694000).

Almost surely, 2^{1010121001000} is an apocalyptic number.

1010121001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010121001000 is an abundant number, since it is smaller than the sum of its proper divisors (1358947415000).

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

1010121001000 is a wasteful number, since it uses less digits than its factorization.

1010121001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301419 (or 2301405 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1010121001000 its reverse (1001210101), we get a palindrome (1011122211101).

The spelling of 1010121001000 in words is "one trillion, ten billion, one hundred twenty-one million, one thousand".