10101001101102 has 12 divisors (see below), whose sum is σ = 21885502385760. Its totient is φ = 3367000367028.

The previous prime is 10101001101073. The next prime is 10101001101131. The reversal of 10101001101102 is 20110110010101.

It is an interprime number because it is at equal distance from previous prime (10101001101073) and next prime (10101001101131).

It is a super-2 number, since 2×10101001101102² (a number of 27 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 280583363902 + ... + 280583363937.

It is an arithmetic number, because the mean of its divisors is an integer number (1823791865480).

Almost surely, 2^{10101001101102} is an apocalyptic number.

10101001101102 is an abundant number, since it is smaller than the sum of its proper divisors (11784501284658).

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

10101001101102 is a wasteful number, since it uses less digits than its factorization.

10101001101102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561166727847 (or 561166727844 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10101001101102 its reverse (20110110010101), we get a palindrome (30211111111203).

The spelling of 10101001101102 in words is "ten trillion, one hundred one billion, one million, one hundred one thousand, one hundred two".