101121000010002 has 48 divisors (see below), whose sum is σ = 250395440111232. Its totient is φ = 28891647025920.

The previous prime is 101121000009973. The next prime is 101121000010003. The reversal of 101121000010002 is 200010000121101.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (101121000010003) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 83728578 + ... + 84927714.

It is an arithmetic number, because the mean of its divisors is an integer number (5216571668984).

Almost surely, 2^{101121000010002} is an apocalyptic number.

101121000010002 is an abundant number, since it is smaller than the sum of its proper divisors (149274440101230).

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

101121000010002 is a wasteful number, since it uses less digits than its factorization.

101121000010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1868423 (or 1868420 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101121000010002 its reverse (200010000121101), we get a palindrome (301131000131103).

The spelling of 101121000010002 in words is "one hundred one trillion, one hundred twenty-one billion, ten thousand, two".