2000101122000 has 120 divisors (see below), whose sum is σ = 6985686581640. Its totient is φ = 533360294400.

The previous prime is 2000101121969. The next prime is 2000101122083. The reversal of 2000101122000 is 2211010002.

It can be written as a sum of positive squares in 4 ways, for example, as 102087918144 + 1898013203856 = 319512^2 + 1377684^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55540365 + ... + 55576364.

It is an arithmetic number, because the mean of its divisors is an integer number (58214054847).

Almost surely, 2^{2000101122000} is an apocalyptic number.

2000101122000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000101122000 is an abundant number, since it is smaller than the sum of its proper divisors (4985585459640).

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

2000101122000 is a wasteful number, since it uses less digits than its factorization.

2000101122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111116758 (or 111116739 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 2000101122000 its reverse (2211010002), we get a palindrome (2002312132002).

The spelling of 2000101122000 in words is "two trillion, one hundred one million, one hundred twenty-two thousand".